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Finding the Fourth Proportional to 10,628.52, 15,971.94 and 10,024.67

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Solution

The fourth proportional to 10,628.52, 15,971.94 and 10,024.67 is: 15,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.52 : 15,971.94 = 10,024.67 : x
  2. Step 2: Convert to fraction form
    10,628.52/15,971.94 = 10,024.67/x
  3. Step 3: Cross multiply
    10,628.52x = 15,971.94 × 10,024.67
  4. Step 4: Simplify right side
    10,628.52x = 160,113,347.90
  5. Step 5: Solve for x
    x = 160,113,347.90/10,628.52
  6. Step 6: Final answer
    x = 15,064.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.