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Finding the Fourth Proportional to 10,541.82, 14,541.06 and 6,761.02

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Solution

The fourth proportional to 10,541.82, 14,541.06 and 6,761.02 is: 9,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,541.82 : 14,541.06 = 6,761.02 : x
  2. Step 2: Convert to fraction form
    10,541.82/14,541.06 = 6,761.02/x
  3. Step 3: Cross multiply
    10,541.82x = 14,541.06 × 6,761.02
  4. Step 4: Simplify right side
    10,541.82x = 98,312,397.48
  5. Step 5: Solve for x
    x = 98,312,397.48/10,541.82
  6. Step 6: Final answer
    x = 9,325.94

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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.