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Finding the Fourth Proportional to 10,002.54, 13,793.16 and 8,590.92

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Solution

The fourth proportional to 10,002.54, 13,793.16 and 8,590.92 is: 11,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.54 : 13,793.16 = 8,590.92 : x
  2. Step 2: Convert to fraction form
    10,002.54/13,793.16 = 8,590.92/x
  3. Step 3: Cross multiply
    10,002.54x = 13,793.16 × 8,590.92
  4. Step 4: Simplify right side
    10,002.54x = 118,495,934.11
  5. Step 5: Solve for x
    x = 118,495,934.11/10,002.54
  6. Step 6: Final answer
    x = 11,846.58

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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.