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Finding the Fourth Proportional to 10,648.68, 14,680.84 and 7,457.68

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Solution

The fourth proportional to 10,648.68, 14,680.84 and 7,457.68 is: 10,281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.68 : 14,680.84 = 7,457.68 : x
  2. Step 2: Convert to fraction form
    10,648.68/14,680.84 = 7,457.68/x
  3. Step 3: Cross multiply
    10,648.68x = 14,680.84 × 7,457.68
  4. Step 4: Simplify right side
    10,648.68x = 109,485,006.85
  5. Step 5: Solve for x
    x = 109,485,006.85/10,648.68
  6. Step 6: Final answer
    x = 10,281.56

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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.