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Finding the Fourth Proportional to 7,541.54, 10,407.06 and 4,354.78

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Solution

The fourth proportional to 7,541.54, 10,407.06 and 4,354.78 is: 6,009.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.54 : 10,407.06 = 4,354.78 : x
  2. Step 2: Convert to fraction form
    7,541.54/10,407.06 = 4,354.78/x
  3. Step 3: Cross multiply
    7,541.54x = 10,407.06 × 4,354.78
  4. Step 4: Simplify right side
    7,541.54x = 45,320,456.75
  5. Step 5: Solve for x
    x = 45,320,456.75/7,541.54
  6. Step 6: Final answer
    x = 6,009.44

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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.