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Finding the Fourth Proportional to 10,698.39, 16,040.73 and 4,462.74

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Solution

The fourth proportional to 10,698.39, 16,040.73 and 4,462.74 is: 6,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.39 : 16,040.73 = 4,462.74 : x
  2. Step 2: Convert to fraction form
    10,698.39/16,040.73 = 4,462.74/x
  3. Step 3: Cross multiply
    10,698.39x = 16,040.73 × 4,462.74
  4. Step 4: Simplify right side
    10,698.39x = 71,585,607.40
  5. Step 5: Solve for x
    x = 71,585,607.40/10,698.39
  6. Step 6: Final answer
    x = 6,691.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.