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Finding the Fourth Proportional to 10,340.38, 14,274.93 and 7,000.75

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Solution

The fourth proportional to 10,340.38, 14,274.93 and 7,000.75 is: 9,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.38 : 14,274.93 = 7,000.75 : x
  2. Step 2: Convert to fraction form
    10,340.38/14,274.93 = 7,000.75/x
  3. Step 3: Cross multiply
    10,340.38x = 14,274.93 × 7,000.75
  4. Step 4: Simplify right side
    10,340.38x = 99,935,216.20
  5. Step 5: Solve for x
    x = 99,935,216.20/10,340.38
  6. Step 6: Final answer
    x = 9,664.56

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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.