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Finding the Fourth Proportional to 7,931.18, 11,915 and 5,596.56

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Solution

The fourth proportional to 7,931.18, 11,915 and 5,596.56 is: 8,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.18 : 11,915 = 5,596.56 : x
  2. Step 2: Convert to fraction form
    7,931.18/11,915 = 5,596.56/x
  3. Step 3: Cross multiply
    7,931.18x = 11,915 × 5,596.56
  4. Step 4: Simplify right side
    7,931.18x = 66,683,012.40
  5. Step 5: Solve for x
    x = 66,683,012.40/7,931.18
  6. Step 6: Final answer
    x = 8,407.70

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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.