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Finding the Fourth Proportional to 8,123.52, 11,209.68 and 6,448.98

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Solution

The fourth proportional to 8,123.52, 11,209.68 and 6,448.98 is: 8,898.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.52 : 11,209.68 = 6,448.98 : x
  2. Step 2: Convert to fraction form
    8,123.52/11,209.68 = 6,448.98/x
  3. Step 3: Cross multiply
    8,123.52x = 11,209.68 × 6,448.98
  4. Step 4: Simplify right side
    8,123.52x = 72,291,002.13
  5. Step 5: Solve for x
    x = 72,291,002.13/8,123.52
  6. Step 6: Final answer
    x = 8,898.98

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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.