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Finding the Fourth Proportional to 7,585.52, 10,467.78 and 4,442.20

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Solution

The fourth proportional to 7,585.52, 10,467.78 and 4,442.20 is: 6,130.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.52 : 10,467.78 = 4,442.20 : x
  2. Step 2: Convert to fraction form
    7,585.52/10,467.78 = 4,442.20/x
  3. Step 3: Cross multiply
    7,585.52x = 10,467.78 × 4,442.20
  4. Step 4: Simplify right side
    7,585.52x = 46,499,972.32
  5. Step 5: Solve for x
    x = 46,499,972.32/7,585.52
  6. Step 6: Final answer
    x = 6,130.10

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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.