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Finding the Fourth Proportional to 10,367.18, 14,302.17 and 7,008.78

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Solution

The fourth proportional to 10,367.18, 14,302.17 and 7,008.78 is: 9,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.18 : 14,302.17 = 7,008.78 : x
  2. Step 2: Convert to fraction form
    10,367.18/14,302.17 = 7,008.78/x
  3. Step 3: Cross multiply
    10,367.18x = 14,302.17 × 7,008.78
  4. Step 4: Simplify right side
    10,367.18x = 100,240,763.05
  5. Step 5: Solve for x
    x = 100,240,763.05/10,367.18
  6. Step 6: Final answer
    x = 9,669.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.