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Finding the Fourth Proportional to 6,674.40, 10,013.12 and 2,291.58

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Solution

The fourth proportional to 6,674.40, 10,013.12 and 2,291.58 is: 3,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.40 : 10,013.12 = 2,291.58 : x
  2. Step 2: Convert to fraction form
    6,674.40/10,013.12 = 2,291.58/x
  3. Step 3: Cross multiply
    6,674.40x = 10,013.12 × 2,291.58
  4. Step 4: Simplify right side
    6,674.40x = 22,945,854.07
  5. Step 5: Solve for x
    x = 22,945,854.07/6,674.40
  6. Step 6: Final answer
    x = 3,437.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.