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Finding the Fourth Proportional to 11,522.65, 15,901.08 and 6,486.86

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Solution

The fourth proportional to 11,522.65, 15,901.08 and 6,486.86 is: 8,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.65 : 15,901.08 = 6,486.86 : x
  2. Step 2: Convert to fraction form
    11,522.65/15,901.08 = 6,486.86/x
  3. Step 3: Cross multiply
    11,522.65x = 15,901.08 × 6,486.86
  4. Step 4: Simplify right side
    11,522.65x = 103,148,079.81
  5. Step 5: Solve for x
    x = 103,148,079.81/11,522.65
  6. Step 6: Final answer
    x = 8,951.77

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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.