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Finding the Fourth Proportional to 10,590.41, 15,860.57 and 9,196.17

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Solution

The fourth proportional to 10,590.41, 15,860.57 and 9,196.17 is: 13,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.41 : 15,860.57 = 9,196.17 : x
  2. Step 2: Convert to fraction form
    10,590.41/15,860.57 = 9,196.17/x
  3. Step 3: Cross multiply
    10,590.41x = 15,860.57 × 9,196.17
  4. Step 4: Simplify right side
    10,590.41x = 145,856,443.71
  5. Step 5: Solve for x
    x = 145,856,443.71/10,590.41
  6. Step 6: Final answer
    x = 13,772.50

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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.