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Finding the Fourth Proportional to 7,534.22, 10,397.04 and 4,177.00

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Solution

The fourth proportional to 7,534.22, 10,397.04 and 4,177.00 is: 5,764.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.22 : 10,397.04 = 4,177.00 : x
  2. Step 2: Convert to fraction form
    7,534.22/10,397.04 = 4,177.00/x
  3. Step 3: Cross multiply
    7,534.22x = 10,397.04 × 4,177.00
  4. Step 4: Simplify right side
    7,534.22x = 43,428,426.17
  5. Step 5: Solve for x
    x = 43,428,426.17/7,534.22
  6. Step 6: Final answer
    x = 5,764.16

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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.