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Finding the Fourth Proportional to 11,654.12, 17,468.71 and 4,624.40

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Solution

The fourth proportional to 11,654.12, 17,468.71 and 4,624.40 is: 6,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.12 : 17,468.71 = 4,624.40 : x
  2. Step 2: Convert to fraction form
    11,654.12/17,468.71 = 4,624.40/x
  3. Step 3: Cross multiply
    11,654.12x = 17,468.71 × 4,624.40
  4. Step 4: Simplify right side
    11,654.12x = 80,782,302.52
  5. Step 5: Solve for x
    x = 80,782,302.52/11,654.12
  6. Step 6: Final answer
    x = 6,931.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.