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Finding the Fourth Proportional to 10,650.30, 14,694.29 and 6,875.70

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Solution

The fourth proportional to 10,650.30, 14,694.29 and 6,875.70 is: 9,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.30 : 14,694.29 = 6,875.70 : x
  2. Step 2: Convert to fraction form
    10,650.30/14,694.29 = 6,875.70/x
  3. Step 3: Cross multiply
    10,650.30x = 14,694.29 × 6,875.70
  4. Step 4: Simplify right side
    10,650.30x = 101,033,421.90
  5. Step 5: Solve for x
    x = 101,033,421.90/10,650.30
  6. Step 6: Final answer
    x = 9,486.44

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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.