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Finding the Fourth Proportional to 11,585.92, 17,363.66 and 6,590.58

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Solution

The fourth proportional to 11,585.92, 17,363.66 and 6,590.58 is: 9,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.92 : 17,363.66 = 6,590.58 : x
  2. Step 2: Convert to fraction form
    11,585.92/17,363.66 = 6,590.58/x
  3. Step 3: Cross multiply
    11,585.92x = 17,363.66 × 6,590.58
  4. Step 4: Simplify right side
    11,585.92x = 114,436,549.11
  5. Step 5: Solve for x
    x = 114,436,549.11/11,585.92
  6. Step 6: Final answer
    x = 9,877.21

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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.