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Finding the Fourth Proportional to 10,656.99, 14,706.36 and 6,180.46

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Solution

The fourth proportional to 10,656.99, 14,706.36 and 6,180.46 is: 8,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.99 : 14,706.36 = 6,180.46 : x
  2. Step 2: Convert to fraction form
    10,656.99/14,706.36 = 6,180.46/x
  3. Step 3: Cross multiply
    10,656.99x = 14,706.36 × 6,180.46
  4. Step 4: Simplify right side
    10,656.99x = 90,891,965.29
  5. Step 5: Solve for x
    x = 90,891,965.29/10,656.99
  6. Step 6: Final answer
    x = 8,528.86

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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.