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Finding the Fourth Proportional to 8,663.47, 13,000.17 and 8,593

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Solution

The fourth proportional to 8,663.47, 13,000.17 and 8,593 is: 12,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,663.47 : 13,000.17 = 8,593 : x
  2. Step 2: Convert to fraction form
    8,663.47/13,000.17 = 8,593/x
  3. Step 3: Cross multiply
    8,663.47x = 13,000.17 × 8,593
  4. Step 4: Simplify right side
    8,663.47x = 111,710,460.81
  5. Step 5: Solve for x
    x = 111,710,460.81/8,663.47
  6. Step 6: Final answer
    x = 12,894.42

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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.