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Finding the Fourth Proportional to 7,917.35, 10,926.98 and 4,559.63

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Solution

The fourth proportional to 7,917.35, 10,926.98 and 4,559.63 is: 6,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.35 : 10,926.98 = 4,559.63 : x
  2. Step 2: Convert to fraction form
    7,917.35/10,926.98 = 4,559.63/x
  3. Step 3: Cross multiply
    7,917.35x = 10,926.98 × 4,559.63
  4. Step 4: Simplify right side
    7,917.35x = 49,822,908.38
  5. Step 5: Solve for x
    x = 49,822,908.38/7,917.35
  6. Step 6: Final answer
    x = 6,292.88

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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.