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Finding the Fourth Proportional to 10,077.71, 13,913.47 and 6,493.94

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Solution

The fourth proportional to 10,077.71, 13,913.47 and 6,493.94 is: 8,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.71 : 13,913.47 = 6,493.94 : x
  2. Step 2: Convert to fraction form
    10,077.71/13,913.47 = 6,493.94/x
  3. Step 3: Cross multiply
    10,077.71x = 13,913.47 × 6,493.94
  4. Step 4: Simplify right side
    10,077.71x = 90,353,145.45
  5. Step 5: Solve for x
    x = 90,353,145.45/10,077.71
  6. Step 6: Final answer
    x = 8,965.64

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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.