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Finding the Fourth Proportional to 10,641.76, 14,685.64 and 5,926.04

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Solution

The fourth proportional to 10,641.76, 14,685.64 and 5,926.04 is: 8,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.76 : 14,685.64 = 5,926.04 : x
  2. Step 2: Convert to fraction form
    10,641.76/14,685.64 = 5,926.04/x
  3. Step 3: Cross multiply
    10,641.76x = 14,685.64 × 5,926.04
  4. Step 4: Simplify right side
    10,641.76x = 87,027,690.07
  5. Step 5: Solve for x
    x = 87,027,690.07/10,641.76
  6. Step 6: Final answer
    x = 8,177.94

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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.