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Finding the Fourth Proportional to 11,343.60, 15,653.76 and 6,308.04

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Solution

The fourth proportional to 11,343.60, 15,653.76 and 6,308.04 is: 8,704.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.60 : 15,653.76 = 6,308.04 : x
  2. Step 2: Convert to fraction form
    11,343.60/15,653.76 = 6,308.04/x
  3. Step 3: Cross multiply
    11,343.60x = 15,653.76 × 6,308.04
  4. Step 4: Simplify right side
    11,343.60x = 98,744,544.23
  5. Step 5: Solve for x
    x = 98,744,544.23/11,343.60
  6. Step 6: Final answer
    x = 8,704.87

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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.