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Finding the Fourth Proportional to 7,443.52, 10,241.76 and 6,445.60

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Solution

The fourth proportional to 7,443.52, 10,241.76 and 6,445.60 is: 8,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.52 : 10,241.76 = 6,445.60 : x
  2. Step 2: Convert to fraction form
    7,443.52/10,241.76 = 6,445.60/x
  3. Step 3: Cross multiply
    7,443.52x = 10,241.76 × 6,445.60
  4. Step 4: Simplify right side
    7,443.52x = 66,014,288.26
  5. Step 5: Solve for x
    x = 66,014,288.26/7,443.52
  6. Step 6: Final answer
    x = 8,868.69

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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.