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Finding the Fourth Proportional to 7,442.40, 10,265.60 and 4,785.60

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Solution

The fourth proportional to 7,442.40, 10,265.60 and 4,785.60 is: 6,600.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.40 : 10,265.60 = 4,785.60 : x
  2. Step 2: Convert to fraction form
    7,442.40/10,265.60 = 4,785.60/x
  3. Step 3: Cross multiply
    7,442.40x = 10,265.60 × 4,785.60
  4. Step 4: Simplify right side
    7,442.40x = 49,127,055.36
  5. Step 5: Solve for x
    x = 49,127,055.36/7,442.40
  6. Step 6: Final answer
    x = 6,600.97

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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.