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Finding the Fourth Proportional to 7,737.56, 11,586.90 and 5,545.16

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Solution

The fourth proportional to 7,737.56, 11,586.90 and 5,545.16 is: 8,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.56 : 11,586.90 = 5,545.16 : x
  2. Step 2: Convert to fraction form
    7,737.56/11,586.90 = 5,545.16/x
  3. Step 3: Cross multiply
    7,737.56x = 11,586.90 × 5,545.16
  4. Step 4: Simplify right side
    7,737.56x = 64,251,214.40
  5. Step 5: Solve for x
    x = 64,251,214.40/7,737.56
  6. Step 6: Final answer
    x = 8,303.81

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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.