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Finding the Fourth Proportional to 7,541.47, 10,395.22 and 5,945.52

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Solution

The fourth proportional to 7,541.47, 10,395.22 and 5,945.52 is: 8,195.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.47 : 10,395.22 = 5,945.52 : x
  2. Step 2: Convert to fraction form
    7,541.47/10,395.22 = 5,945.52/x
  3. Step 3: Cross multiply
    7,541.47x = 10,395.22 × 5,945.52
  4. Step 4: Simplify right side
    7,541.47x = 61,804,988.41
  5. Step 5: Solve for x
    x = 61,804,988.41/7,541.47
  6. Step 6: Final answer
    x = 8,195.35

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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.