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Finding the Fourth Proportional to 10,439.71, 14,407.01 and 5,723.71

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Solution

The fourth proportional to 10,439.71, 14,407.01 and 5,723.71 is: 7,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,439.71 : 14,407.01 = 5,723.71 : x
  2. Step 2: Convert to fraction form
    10,439.71/14,407.01 = 5,723.71/x
  3. Step 3: Cross multiply
    10,439.71x = 14,407.01 × 5,723.71
  4. Step 4: Simplify right side
    10,439.71x = 82,461,547.21
  5. Step 5: Solve for x
    x = 82,461,547.21/10,439.71
  6. Step 6: Final answer
    x = 7,898.84

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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.