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Finding the Fourth Proportional to 7,702.47, 11,546.40 and 3,025.47

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Solution

The fourth proportional to 7,702.47, 11,546.40 and 3,025.47 is: 4,535.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.47 : 11,546.40 = 3,025.47 : x
  2. Step 2: Convert to fraction form
    7,702.47/11,546.40 = 3,025.47/x
  3. Step 3: Cross multiply
    7,702.47x = 11,546.40 × 3,025.47
  4. Step 4: Simplify right side
    7,702.47x = 34,933,286.81
  5. Step 5: Solve for x
    x = 34,933,286.81/7,702.47
  6. Step 6: Final answer
    x = 4,535.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.