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Finding the Fourth Proportional to 28,439.86, 42,654.93 and 7,658.50

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Solution

The fourth proportional to 28,439.86, 42,654.93 and 7,658.50 is: 11,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,439.86 : 42,654.93 = 7,658.50 : x
  2. Step 2: Convert to fraction form
    28,439.86/42,654.93 = 7,658.50/x
  3. Step 3: Cross multiply
    28,439.86x = 42,654.93 × 7,658.50
  4. Step 4: Simplify right side
    28,439.86x = 326,672,781.41
  5. Step 5: Solve for x
    x = 326,672,781.41/28,439.86
  6. Step 6: Final answer
    x = 11,486.44

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Why These Related Problems?

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