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Finding the Fourth Proportional to 7,427.60, 11,119.53 and 5,488.46

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Solution

The fourth proportional to 7,427.60, 11,119.53 and 5,488.46 is: 8,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.60 : 11,119.53 = 5,488.46 : x
  2. Step 2: Convert to fraction form
    7,427.60/11,119.53 = 5,488.46/x
  3. Step 3: Cross multiply
    7,427.60x = 11,119.53 × 5,488.46
  4. Step 4: Simplify right side
    7,427.60x = 61,029,095.62
  5. Step 5: Solve for x
    x = 61,029,095.62/7,427.60
  6. Step 6: Final answer
    x = 8,216.53

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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.