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Finding the Fourth Proportional to 11,419.68, 15,757.02 and 6,702.24

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Solution

The fourth proportional to 11,419.68, 15,757.02 and 6,702.24 is: 9,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.68 : 15,757.02 = 6,702.24 : x
  2. Step 2: Convert to fraction form
    11,419.68/15,757.02 = 6,702.24/x
  3. Step 3: Cross multiply
    11,419.68x = 15,757.02 × 6,702.24
  4. Step 4: Simplify right side
    11,419.68x = 105,607,329.72
  5. Step 5: Solve for x
    x = 105,607,329.72/11,419.68
  6. Step 6: Final answer
    x = 9,247.84

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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.