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Finding the Fourth Proportional to 7,569.60, 10,442.10 and 4,918.44

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Solution

The fourth proportional to 7,569.60, 10,442.10 and 4,918.44 is: 6,784.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.60 : 10,442.10 = 4,918.44 : x
  2. Step 2: Convert to fraction form
    7,569.60/10,442.10 = 4,918.44/x
  3. Step 3: Cross multiply
    7,569.60x = 10,442.10 × 4,918.44
  4. Step 4: Simplify right side
    7,569.60x = 51,358,842.32
  5. Step 5: Solve for x
    x = 51,358,842.32/7,569.60
  6. Step 6: Final answer
    x = 6,784.88

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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.