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Finding the Fourth Proportional to 7,635.60, 10,547.40 and 6,149.28

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Solution

The fourth proportional to 7,635.60, 10,547.40 and 6,149.28 is: 8,494.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.60 : 10,547.40 = 6,149.28 : x
  2. Step 2: Convert to fraction form
    7,635.60/10,547.40 = 6,149.28/x
  3. Step 3: Cross multiply
    7,635.60x = 10,547.40 × 6,149.28
  4. Step 4: Simplify right side
    7,635.60x = 64,858,915.87
  5. Step 5: Solve for x
    x = 64,858,915.87/7,635.60
  6. Step 6: Final answer
    x = 8,494.28

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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.