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Finding the Fourth Proportional to 10,931.56, 15,086.94 and 6,214.93

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Solution

The fourth proportional to 10,931.56, 15,086.94 and 6,214.93 is: 8,577.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.56 : 15,086.94 = 6,214.93 : x
  2. Step 2: Convert to fraction form
    10,931.56/15,086.94 = 6,214.93/x
  3. Step 3: Cross multiply
    10,931.56x = 15,086.94 × 6,214.93
  4. Step 4: Simplify right side
    10,931.56x = 93,764,276.01
  5. Step 5: Solve for x
    x = 93,764,276.01/10,931.56
  6. Step 6: Final answer
    x = 8,577.39

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Why These Related Problems?

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