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Finding the Fourth Proportional to 10,707.36, 16,061.12 and 2,916.24

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Solution

The fourth proportional to 10,707.36, 16,061.12 and 2,916.24 is: 4,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.36 : 16,061.12 = 2,916.24 : x
  2. Step 2: Convert to fraction form
    10,707.36/16,061.12 = 2,916.24/x
  3. Step 3: Cross multiply
    10,707.36x = 16,061.12 × 2,916.24
  4. Step 4: Simplify right side
    10,707.36x = 46,838,080.59
  5. Step 5: Solve for x
    x = 46,838,080.59/10,707.36
  6. Step 6: Final answer
    x = 4,374.38

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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.