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Finding the Fourth Proportional to 10,004.64, 15,010.20 and 3,430.68

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Solution

The fourth proportional to 10,004.64, 15,010.20 and 3,430.68 is: 5,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.64 : 15,010.20 = 3,430.68 : x
  2. Step 2: Convert to fraction form
    10,004.64/15,010.20 = 3,430.68/x
  3. Step 3: Cross multiply
    10,004.64x = 15,010.20 × 3,430.68
  4. Step 4: Simplify right side
    10,004.64x = 51,495,192.94
  5. Step 5: Solve for x
    x = 51,495,192.94/10,004.64
  6. Step 6: Final answer
    x = 5,147.13

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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.