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Finding the Fourth Proportional to 10,679.76, 14,740.20 and 7,108.24

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Solution

The fourth proportional to 10,679.76, 14,740.20 and 7,108.24 is: 9,810.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.76 : 14,740.20 = 7,108.24 : x
  2. Step 2: Convert to fraction form
    10,679.76/14,740.20 = 7,108.24/x
  3. Step 3: Cross multiply
    10,679.76x = 14,740.20 × 7,108.24
  4. Step 4: Simplify right side
    10,679.76x = 104,776,879.25
  5. Step 5: Solve for x
    x = 104,776,879.25/10,679.76
  6. Step 6: Final answer
    x = 9,810.79

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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.