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Finding the Fourth Proportional to 10,487.19, 14,472.42 and 5,771.58

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Solution

The fourth proportional to 10,487.19, 14,472.42 and 5,771.58 is: 7,964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.19 : 14,472.42 = 5,771.58 : x
  2. Step 2: Convert to fraction form
    10,487.19/14,472.42 = 5,771.58/x
  3. Step 3: Cross multiply
    10,487.19x = 14,472.42 × 5,771.58
  4. Step 4: Simplify right side
    10,487.19x = 83,528,643.03
  5. Step 5: Solve for x
    x = 83,528,643.03/10,487.19
  6. Step 6: Final answer
    x = 7,964.83

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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.