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Finding the Fourth Proportional to 8,077.14, 11,143.02 and 4,931.50

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Solution

The fourth proportional to 8,077.14, 11,143.02 and 4,931.50 is: 6,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.14 : 11,143.02 = 4,931.50 : x
  2. Step 2: Convert to fraction form
    8,077.14/11,143.02 = 4,931.50/x
  3. Step 3: Cross multiply
    8,077.14x = 11,143.02 × 4,931.50
  4. Step 4: Simplify right side
    8,077.14x = 54,951,803.13
  5. Step 5: Solve for x
    x = 54,951,803.13/8,077.14
  6. Step 6: Final answer
    x = 6,803.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.