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Finding the Fourth Proportional to 11,337.60, 15,645.48 and 6,302.04

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Solution

The fourth proportional to 11,337.60, 15,645.48 and 6,302.04 is: 8,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,337.60 : 15,645.48 = 6,302.04 : x
  2. Step 2: Convert to fraction form
    11,337.60/15,645.48 = 6,302.04/x
  3. Step 3: Cross multiply
    11,337.60x = 15,645.48 × 6,302.04
  4. Step 4: Simplify right side
    11,337.60x = 98,598,440.78
  5. Step 5: Solve for x
    x = 98,598,440.78/11,337.60
  6. Step 6: Final answer
    x = 8,696.59

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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.