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Finding the Fourth Proportional to 10,315.78, 14,247.50 and 6,952.79

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Solution

The fourth proportional to 10,315.78, 14,247.50 and 6,952.79 is: 9,602.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.78 : 14,247.50 = 6,952.79 : x
  2. Step 2: Convert to fraction form
    10,315.78/14,247.50 = 6,952.79/x
  3. Step 3: Cross multiply
    10,315.78x = 14,247.50 × 6,952.79
  4. Step 4: Simplify right side
    10,315.78x = 99,059,876.38
  5. Step 5: Solve for x
    x = 99,059,876.38/10,315.78
  6. Step 6: Final answer
    x = 9,602.75

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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.