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Finding the Fourth Proportional to 7,877.65, 11,802.08 and 6,408.85

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Solution

The fourth proportional to 7,877.65, 11,802.08 and 6,408.85 is: 9,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.65 : 11,802.08 = 6,408.85 : x
  2. Step 2: Convert to fraction form
    7,877.65/11,802.08 = 6,408.85/x
  3. Step 3: Cross multiply
    7,877.65x = 11,802.08 × 6,408.85
  4. Step 4: Simplify right side
    7,877.65x = 75,637,728.36
  5. Step 5: Solve for x
    x = 75,637,728.36/7,877.65
  6. Step 6: Final answer
    x = 9,601.56

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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.