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Finding the Fourth Proportional to 10,430.32, 15,640.29 and 6,486.53

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Solution

The fourth proportional to 10,430.32, 15,640.29 and 6,486.53 is: 9,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.32 : 15,640.29 = 6,486.53 : x
  2. Step 2: Convert to fraction form
    10,430.32/15,640.29 = 6,486.53/x
  3. Step 3: Cross multiply
    10,430.32x = 15,640.29 × 6,486.53
  4. Step 4: Simplify right side
    10,430.32x = 101,451,220.07
  5. Step 5: Solve for x
    x = 101,451,220.07/10,430.32
  6. Step 6: Final answer
    x = 9,726.57

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