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Finding the Fourth Proportional to 10,057.42, 13,875.43 and 7,411.14

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Solution

The fourth proportional to 10,057.42, 13,875.43 and 7,411.14 is: 10,224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.42 : 13,875.43 = 7,411.14 : x
  2. Step 2: Convert to fraction form
    10,057.42/13,875.43 = 7,411.14/x
  3. Step 3: Cross multiply
    10,057.42x = 13,875.43 × 7,411.14
  4. Step 4: Simplify right side
    10,057.42x = 102,832,754.29
  5. Step 5: Solve for x
    x = 102,832,754.29/10,057.42
  6. Step 6: Final answer
    x = 10,224.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.