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Finding the Fourth Proportional to 10,643.10, 14,685.75 and 5,926.50

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Solution

The fourth proportional to 10,643.10, 14,685.75 and 5,926.50 is: 8,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.10 : 14,685.75 = 5,926.50 : x
  2. Step 2: Convert to fraction form
    10,643.10/14,685.75 = 5,926.50/x
  3. Step 3: Cross multiply
    10,643.10x = 14,685.75 × 5,926.50
  4. Step 4: Simplify right side
    10,643.10x = 87,035,097.38
  5. Step 5: Solve for x
    x = 87,035,097.38/10,643.10
  6. Step 6: Final answer
    x = 8,177.61

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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.