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Finding the Fourth Proportional to 11,337.65, 15,645.64 and 6,301.74

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Solution

The fourth proportional to 11,337.65, 15,645.64 and 6,301.74 is: 8,696.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.65 : 15,645.64 = 6,301.74 : x
  2. Step 2: Convert to fraction form
    11,337.65/15,645.64 = 6,301.74/x
  3. Step 3: Cross multiply
    11,337.65x = 15,645.64 × 6,301.74
  4. Step 4: Simplify right side
    11,337.65x = 98,594,755.41
  5. Step 5: Solve for x
    x = 98,594,755.41/11,337.65
  6. Step 6: Final answer
    x = 8,696.23

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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.