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Finding the Fourth Proportional to 10,488.18, 14,472 and 6,011.04

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Solution

The fourth proportional to 10,488.18, 14,472 and 6,011.04 is: 8,294.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.18 : 14,472 = 6,011.04 : x
  2. Step 2: Convert to fraction form
    10,488.18/14,472 = 6,011.04/x
  3. Step 3: Cross multiply
    10,488.18x = 14,472 × 6,011.04
  4. Step 4: Simplify right side
    10,488.18x = 86,991,770.88
  5. Step 5: Solve for x
    x = 86,991,770.88/10,488.18
  6. Step 6: Final answer
    x = 8,294.27

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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.