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Finding the Fourth Proportional to 10,859.46, 16,207.16 and 9,809.70

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Solution

The fourth proportional to 10,859.46, 16,207.16 and 9,809.70 is: 14,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.46 : 16,207.16 = 9,809.70 : x
  2. Step 2: Convert to fraction form
    10,859.46/16,207.16 = 9,809.70/x
  3. Step 3: Cross multiply
    10,859.46x = 16,207.16 × 9,809.70
  4. Step 4: Simplify right side
    10,859.46x = 158,987,377.45
  5. Step 5: Solve for x
    x = 158,987,377.45/10,859.46
  6. Step 6: Final answer
    x = 14,640.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.