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Finding the Fourth Proportional to 10,515.98, 15,776.27 and 3,120

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Solution

The fourth proportional to 10,515.98, 15,776.27 and 3,120 is: 4,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.98 : 15,776.27 = 3,120 : x
  2. Step 2: Convert to fraction form
    10,515.98/15,776.27 = 3,120/x
  3. Step 3: Cross multiply
    10,515.98x = 15,776.27 × 3,120
  4. Step 4: Simplify right side
    10,515.98x = 49,221,946.80
  5. Step 5: Solve for x
    x = 49,221,946.80/10,515.98
  6. Step 6: Final answer
    x = 4,680.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.