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Finding the Fourth Proportional to 7,658.60, 11,488.27 and 2,111.81

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Solution

The fourth proportional to 7,658.60, 11,488.27 and 2,111.81 is: 3,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.60 : 11,488.27 = 2,111.81 : x
  2. Step 2: Convert to fraction form
    7,658.60/11,488.27 = 2,111.81/x
  3. Step 3: Cross multiply
    7,658.60x = 11,488.27 × 2,111.81
  4. Step 4: Simplify right side
    7,658.60x = 24,261,066.91
  5. Step 5: Solve for x
    x = 24,261,066.91/7,658.60
  6. Step 6: Final answer
    x = 3,167.82

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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.