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Finding the Fourth Proportional to 10,457.36, 15,687.99 and 3,439.40

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Solution

The fourth proportional to 10,457.36, 15,687.99 and 3,439.40 is: 5,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.36 : 15,687.99 = 3,439.40 : x
  2. Step 2: Convert to fraction form
    10,457.36/15,687.99 = 3,439.40/x
  3. Step 3: Cross multiply
    10,457.36x = 15,687.99 × 3,439.40
  4. Step 4: Simplify right side
    10,457.36x = 53,957,312.03
  5. Step 5: Solve for x
    x = 53,957,312.03/10,457.36
  6. Step 6: Final answer
    x = 5,159.74

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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.