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Finding the Fourth Proportional to 10,430, 15,632.04 and 4,580.72

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Solution

The fourth proportional to 10,430, 15,632.04 and 4,580.72 is: 6,865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430 : 15,632.04 = 4,580.72 : x
  2. Step 2: Convert to fraction form
    10,430/15,632.04 = 4,580.72/x
  3. Step 3: Cross multiply
    10,430x = 15,632.04 × 4,580.72
  4. Step 4: Simplify right side
    10,430x = 71,605,998.27
  5. Step 5: Solve for x
    x = 71,605,998.27/10,430
  6. Step 6: Final answer
    x = 6,865.39

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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.