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Finding the Fourth Proportional to 10,652.85, 14,710.14 and 6,680.70

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Solution

The fourth proportional to 10,652.85, 14,710.14 and 6,680.70 is: 9,225.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.85 : 14,710.14 = 6,680.70 : x
  2. Step 2: Convert to fraction form
    10,652.85/14,710.14 = 6,680.70/x
  3. Step 3: Cross multiply
    10,652.85x = 14,710.14 × 6,680.70
  4. Step 4: Simplify right side
    10,652.85x = 98,274,032.30
  5. Step 5: Solve for x
    x = 98,274,032.30/10,652.85
  6. Step 6: Final answer
    x = 9,225.14

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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.