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Finding the Fourth Proportional to 10,655.64, 14,706.70 and 6,680.20

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Solution

The fourth proportional to 10,655.64, 14,706.70 and 6,680.20 is: 9,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.64 : 14,706.70 = 6,680.20 : x
  2. Step 2: Convert to fraction form
    10,655.64/14,706.70 = 6,680.20/x
  3. Step 3: Cross multiply
    10,655.64x = 14,706.70 × 6,680.20
  4. Step 4: Simplify right side
    10,655.64x = 98,243,697.34
  5. Step 5: Solve for x
    x = 98,243,697.34/10,655.64
  6. Step 6: Final answer
    x = 9,219.88

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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.