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Finding the Fourth Proportional to 10,035.74, 13,851.62 and 6,678.69

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Solution

The fourth proportional to 10,035.74, 13,851.62 and 6,678.69 is: 9,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.74 : 13,851.62 = 6,678.69 : x
  2. Step 2: Convert to fraction form
    10,035.74/13,851.62 = 6,678.69/x
  3. Step 3: Cross multiply
    10,035.74x = 13,851.62 × 6,678.69
  4. Step 4: Simplify right side
    10,035.74x = 92,510,642.58
  5. Step 5: Solve for x
    x = 92,510,642.58/10,035.74
  6. Step 6: Final answer
    x = 9,218.12

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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.