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Finding the Fourth Proportional to 10,207.86, 14,065.78 and 7,817.70

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Solution

The fourth proportional to 10,207.86, 14,065.78 and 7,817.70 is: 10,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207.86 : 14,065.78 = 7,817.70 : x
  2. Step 2: Convert to fraction form
    10,207.86/14,065.78 = 7,817.70/x
  3. Step 3: Cross multiply
    10,207.86x = 14,065.78 × 7,817.70
  4. Step 4: Simplify right side
    10,207.86x = 109,962,048.31
  5. Step 5: Solve for x
    x = 109,962,048.31/10,207.86
  6. Step 6: Final answer
    x = 10,772.29

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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.