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Finding the Fourth Proportional to 10,742.13, 14,830.62 and 7,022.61

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Solution

The fourth proportional to 10,742.13, 14,830.62 and 7,022.61 is: 9,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.13 : 14,830.62 = 7,022.61 : x
  2. Step 2: Convert to fraction form
    10,742.13/14,830.62 = 7,022.61/x
  3. Step 3: Cross multiply
    10,742.13x = 14,830.62 × 7,022.61
  4. Step 4: Simplify right side
    10,742.13x = 104,149,660.32
  5. Step 5: Solve for x
    x = 104,149,660.32/10,742.13
  6. Step 6: Final answer
    x = 9,695.44

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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.