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Finding the Fourth Proportional to 7,801.60, 11,689.44 and 5,488.24

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Solution

The fourth proportional to 7,801.60, 11,689.44 and 5,488.24 is: 8,223.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.60 : 11,689.44 = 5,488.24 : x
  2. Step 2: Convert to fraction form
    7,801.60/11,689.44 = 5,488.24/x
  3. Step 3: Cross multiply
    7,801.60x = 11,689.44 × 5,488.24
  4. Step 4: Simplify right side
    7,801.60x = 64,154,452.19
  5. Step 5: Solve for x
    x = 64,154,452.19/7,801.60
  6. Step 6: Final answer
    x = 8,223.24

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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.