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Finding the Fourth Proportional to 10,488.22, 14,472.88 and 6,507.88

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Solution

The fourth proportional to 10,488.22, 14,472.88 and 6,507.88 is: 8,980.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.22 : 14,472.88 = 6,507.88 : x
  2. Step 2: Convert to fraction form
    10,488.22/14,472.88 = 6,507.88/x
  3. Step 3: Cross multiply
    10,488.22x = 14,472.88 × 6,507.88
  4. Step 4: Simplify right side
    10,488.22x = 94,187,766.29
  5. Step 5: Solve for x
    x = 94,187,766.29/10,488.22
  6. Step 6: Final answer
    x = 8,980.34

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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.