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Finding the Fourth Proportional to 7,814.18, 11,713.17 and 4,885.76

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Solution

The fourth proportional to 7,814.18, 11,713.17 and 4,885.76 is: 7,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.18 : 11,713.17 = 4,885.76 : x
  2. Step 2: Convert to fraction form
    7,814.18/11,713.17 = 4,885.76/x
  3. Step 3: Cross multiply
    7,814.18x = 11,713.17 × 4,885.76
  4. Step 4: Simplify right side
    7,814.18x = 57,227,737.46
  5. Step 5: Solve for x
    x = 57,227,737.46/7,814.18
  6. Step 6: Final answer
    x = 7,323.58

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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.