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Finding the Fourth Proportional to 7,291.34, 10,059.72 and 4,146.92

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Solution

The fourth proportional to 7,291.34, 10,059.72 and 4,146.92 is: 5,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.34 : 10,059.72 = 4,146.92 : x
  2. Step 2: Convert to fraction form
    7,291.34/10,059.72 = 4,146.92/x
  3. Step 3: Cross multiply
    7,291.34x = 10,059.72 × 4,146.92
  4. Step 4: Simplify right side
    7,291.34x = 41,716,854.06
  5. Step 5: Solve for x
    x = 41,716,854.06/7,291.34
  6. Step 6: Final answer
    x = 5,721.42

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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.