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Finding the Fourth Proportional to 7,461.54, 10,292.13 and 4,478.31

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Solution

The fourth proportional to 7,461.54, 10,292.13 and 4,478.31 is: 6,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.54 : 10,292.13 = 4,478.31 : x
  2. Step 2: Convert to fraction form
    7,461.54/10,292.13 = 4,478.31/x
  3. Step 3: Cross multiply
    7,461.54x = 10,292.13 × 4,478.31
  4. Step 4: Simplify right side
    7,461.54x = 46,091,348.70
  5. Step 5: Solve for x
    x = 46,091,348.70/7,461.54
  6. Step 6: Final answer
    x = 6,177.19

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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.