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Finding the Fourth Proportional to 10,394.76, 14,350.68 and 6,868.20

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Solution

The fourth proportional to 10,394.76, 14,350.68 and 6,868.20 is: 9,482.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.76 : 14,350.68 = 6,868.20 : x
  2. Step 2: Convert to fraction form
    10,394.76/14,350.68 = 6,868.20/x
  3. Step 3: Cross multiply
    10,394.76x = 14,350.68 × 6,868.20
  4. Step 4: Simplify right side
    10,394.76x = 98,563,340.38
  5. Step 5: Solve for x
    x = 98,563,340.38/10,394.76
  6. Step 6: Final answer
    x = 9,482.02

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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.