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Finding the Fourth Proportional to 11,347.67, 15,658.58 and 6,311.08

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Solution

The fourth proportional to 11,347.67, 15,658.58 and 6,311.08 is: 8,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.67 : 15,658.58 = 6,311.08 : x
  2. Step 2: Convert to fraction form
    11,347.67/15,658.58 = 6,311.08/x
  3. Step 3: Cross multiply
    11,347.67x = 15,658.58 × 6,311.08
  4. Step 4: Simplify right side
    11,347.67x = 98,822,551.07
  5. Step 5: Solve for x
    x = 98,822,551.07/11,347.67
  6. Step 6: Final answer
    x = 8,708.62

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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.