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Finding the Fourth Proportional to 7,488.48, 11,242.44 and 5,758.32

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Solution

The fourth proportional to 7,488.48, 11,242.44 and 5,758.32 is: 8,644.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.48 : 11,242.44 = 5,758.32 : x
  2. Step 2: Convert to fraction form
    7,488.48/11,242.44 = 5,758.32/x
  3. Step 3: Cross multiply
    7,488.48x = 11,242.44 × 5,758.32
  4. Step 4: Simplify right side
    7,488.48x = 64,737,567.10
  5. Step 5: Solve for x
    x = 64,737,567.10/7,488.48
  6. Step 6: Final answer
    x = 8,644.95

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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.