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Finding the Fourth Proportional to 7,565.90, 10,442.94 and 5,328.44

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Solution

The fourth proportional to 7,565.90, 10,442.94 and 5,328.44 is: 7,354.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,565.90 : 10,442.94 = 5,328.44 : x
  2. Step 2: Convert to fraction form
    7,565.90/10,442.94 = 5,328.44/x
  3. Step 3: Cross multiply
    7,565.90x = 10,442.94 × 5,328.44
  4. Step 4: Simplify right side
    7,565.90x = 55,644,579.21
  5. Step 5: Solve for x
    x = 55,644,579.21/7,565.90
  6. Step 6: Final answer
    x = 7,354.65

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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.