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Finding the Fourth Proportional to 7,546.40, 10,418.45 and 5,032.02

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Solution

The fourth proportional to 7,546.40, 10,418.45 and 5,032.02 is: 6,947.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,546.40 : 10,418.45 = 5,032.02 : x
  2. Step 2: Convert to fraction form
    7,546.40/10,418.45 = 5,032.02/x
  3. Step 3: Cross multiply
    7,546.40x = 10,418.45 × 5,032.02
  4. Step 4: Simplify right side
    7,546.40x = 52,425,823.61
  5. Step 5: Solve for x
    x = 52,425,823.61/7,546.40
  6. Step 6: Final answer
    x = 6,947.13

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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.