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Finding the Fourth Proportional to 7,885.64, 11,820.45 and 5,114.06

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Solution

The fourth proportional to 7,885.64, 11,820.45 and 5,114.06 is: 7,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.64 : 11,820.45 = 5,114.06 : x
  2. Step 2: Convert to fraction form
    7,885.64/11,820.45 = 5,114.06/x
  3. Step 3: Cross multiply
    7,885.64x = 11,820.45 × 5,114.06
  4. Step 4: Simplify right side
    7,885.64x = 60,450,490.53
  5. Step 5: Solve for x
    x = 60,450,490.53/7,885.64
  6. Step 6: Final answer
    x = 7,665.90

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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.