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Finding the Fourth Proportional to 7,349.21, 11,009.92 and 5,697.66

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Solution

The fourth proportional to 7,349.21, 11,009.92 and 5,697.66 is: 8,535.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.21 : 11,009.92 = 5,697.66 : x
  2. Step 2: Convert to fraction form
    7,349.21/11,009.92 = 5,697.66/x
  3. Step 3: Cross multiply
    7,349.21x = 11,009.92 × 5,697.66
  4. Step 4: Simplify right side
    7,349.21x = 62,730,780.79
  5. Step 5: Solve for x
    x = 62,730,780.79/7,349.21
  6. Step 6: Final answer
    x = 8,535.72

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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.