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Finding the Fourth Proportional to 10,430.97, 15,645.02 and 3,504.57

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Solution

The fourth proportional to 10,430.97, 15,645.02 and 3,504.57 is: 5,256.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.97 : 15,645.02 = 3,504.57 : x
  2. Step 2: Convert to fraction form
    10,430.97/15,645.02 = 3,504.57/x
  3. Step 3: Cross multiply
    10,430.97x = 15,645.02 × 3,504.57
  4. Step 4: Simplify right side
    10,430.97x = 54,829,050.22
  5. Step 5: Solve for x
    x = 54,829,050.22/10,430.97
  6. Step 6: Final answer
    x = 5,256.37

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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.