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Finding the Fourth Proportional to 7,257.60, 10,886.40 and 5,299.20

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Solution

The fourth proportional to 7,257.60, 10,886.40 and 5,299.20 is: 7,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.60 : 10,886.40 = 5,299.20 : x
  2. Step 2: Convert to fraction form
    7,257.60/10,886.40 = 5,299.20/x
  3. Step 3: Cross multiply
    7,257.60x = 10,886.40 × 5,299.20
  4. Step 4: Simplify right side
    7,257.60x = 57,689,210.88
  5. Step 5: Solve for x
    x = 57,689,210.88/7,257.60
  6. Step 6: Final answer
    x = 7,948.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.