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Finding the Fourth Proportional to 7,881.70, 11,822.55 and 7,728.10

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Solution

The fourth proportional to 7,881.70, 11,822.55 and 7,728.10 is: 11,592.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.70 : 11,822.55 = 7,728.10 : x
  2. Step 2: Convert to fraction form
    7,881.70/11,822.55 = 7,728.10/x
  3. Step 3: Cross multiply
    7,881.70x = 11,822.55 × 7,728.10
  4. Step 4: Simplify right side
    7,881.70x = 91,365,848.66
  5. Step 5: Solve for x
    x = 91,365,848.66/7,881.70
  6. Step 6: Final answer
    x = 11,592.15

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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.