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Finding the Fourth Proportional to 7,541.48, 10,407.29 and 4,138.46

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Solution

The fourth proportional to 7,541.48, 10,407.29 and 4,138.46 is: 5,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.48 : 10,407.29 = 4,138.46 : x
  2. Step 2: Convert to fraction form
    7,541.48/10,407.29 = 4,138.46/x
  3. Step 3: Cross multiply
    7,541.48x = 10,407.29 × 4,138.46
  4. Step 4: Simplify right side
    7,541.48x = 43,070,153.37
  5. Step 5: Solve for x
    x = 43,070,153.37/7,541.48
  6. Step 6: Final answer
    x = 5,711.10

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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.