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Finding the Fourth Proportional to 7,541.01, 10,407.84 and 4,184.91

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Solution

The fourth proportional to 7,541.01, 10,407.84 and 4,184.91 is: 5,775.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,541.01 : 10,407.84 = 4,184.91 : x
  2. Step 2: Convert to fraction form
    7,541.01/10,407.84 = 4,184.91/x
  3. Step 3: Cross multiply
    7,541.01x = 10,407.84 × 4,184.91
  4. Step 4: Simplify right side
    7,541.01x = 43,555,885.46
  5. Step 5: Solve for x
    x = 43,555,885.46/7,541.01
  6. Step 6: Final answer
    x = 5,775.87

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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.