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Finding the Fourth Proportional to 10,670.85, 14,710.95 and 6,689.30

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Solution

The fourth proportional to 10,670.85, 14,710.95 and 6,689.30 is: 9,221.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.85 : 14,710.95 = 6,689.30 : x
  2. Step 2: Convert to fraction form
    10,670.85/14,710.95 = 6,689.30/x
  3. Step 3: Cross multiply
    10,670.85x = 14,710.95 × 6,689.30
  4. Step 4: Simplify right side
    10,670.85x = 98,405,884.28
  5. Step 5: Solve for x
    x = 98,405,884.28/10,670.85
  6. Step 6: Final answer
    x = 9,221.93

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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.