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Finding the Fourth Proportional to 6,917.64, 10,370.65 and 5,926.47

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Solution

The fourth proportional to 6,917.64, 10,370.65 and 5,926.47 is: 8,884.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.64 : 10,370.65 = 5,926.47 : x
  2. Step 2: Convert to fraction form
    6,917.64/10,370.65 = 5,926.47/x
  3. Step 3: Cross multiply
    6,917.64x = 10,370.65 × 5,926.47
  4. Step 4: Simplify right side
    6,917.64x = 61,461,346.11
  5. Step 5: Solve for x
    x = 61,461,346.11/6,917.64
  6. Step 6: Final answer
    x = 8,884.73

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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.