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Finding the Fourth Proportional to 10,057.28, 13,878.96 and 5,866.16

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Solution

The fourth proportional to 10,057.28, 13,878.96 and 5,866.16 is: 8,095.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.28 : 13,878.96 = 5,866.16 : x
  2. Step 2: Convert to fraction form
    10,057.28/13,878.96 = 5,866.16/x
  3. Step 3: Cross multiply
    10,057.28x = 13,878.96 × 5,866.16
  4. Step 4: Simplify right side
    10,057.28x = 81,416,199.99
  5. Step 5: Solve for x
    x = 81,416,199.99/10,057.28
  6. Step 6: Final answer
    x = 8,095.25

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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.