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Finding the Fourth Proportional to 11,123.95, 15,349.53 and 6,646.75

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Solution

The fourth proportional to 11,123.95, 15,349.53 and 6,646.75 is: 9,171.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.95 : 15,349.53 = 6,646.75 : x
  2. Step 2: Convert to fraction form
    11,123.95/15,349.53 = 6,646.75/x
  3. Step 3: Cross multiply
    11,123.95x = 15,349.53 × 6,646.75
  4. Step 4: Simplify right side
    11,123.95x = 102,024,543.52
  5. Step 5: Solve for x
    x = 102,024,543.52/11,123.95
  6. Step 6: Final answer
    x = 9,171.61

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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.