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Finding the Fourth Proportional to 10,578.45, 15,852.87 and 7,024.77

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Solution

The fourth proportional to 10,578.45, 15,852.87 and 7,024.77 is: 10,527.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.45 : 15,852.87 = 7,024.77 : x
  2. Step 2: Convert to fraction form
    10,578.45/15,852.87 = 7,024.77/x
  3. Step 3: Cross multiply
    10,578.45x = 15,852.87 × 7,024.77
  4. Step 4: Simplify right side
    10,578.45x = 111,362,765.59
  5. Step 5: Solve for x
    x = 111,362,765.59/10,578.45
  6. Step 6: Final answer
    x = 10,527.32

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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.