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Finding the Fourth Proportional to 10,650.68, 14,693.30 and 6,341.36

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Solution

The fourth proportional to 10,650.68, 14,693.30 and 6,341.36 is: 8,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.68 : 14,693.30 = 6,341.36 : x
  2. Step 2: Convert to fraction form
    10,650.68/14,693.30 = 6,341.36/x
  3. Step 3: Cross multiply
    10,650.68x = 14,693.30 × 6,341.36
  4. Step 4: Simplify right side
    10,650.68x = 93,175,447.27
  5. Step 5: Solve for x
    x = 93,175,447.27/10,650.68
  6. Step 6: Final answer
    x = 8,748.31

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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.