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Finding the Fourth Proportional to 7,658.16, 11,472.63 and 5,188.74

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Solution

The fourth proportional to 7,658.16, 11,472.63 and 5,188.74 is: 7,773.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.16 : 11,472.63 = 5,188.74 : x
  2. Step 2: Convert to fraction form
    7,658.16/11,472.63 = 5,188.74/x
  3. Step 3: Cross multiply
    7,658.16x = 11,472.63 × 5,188.74
  4. Step 4: Simplify right side
    7,658.16x = 59,528,494.19
  5. Step 5: Solve for x
    x = 59,528,494.19/7,658.16
  6. Step 6: Final answer
    x = 7,773.21

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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.