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Finding the Fourth Proportional to 10,698.60, 16,041.07 and 4,462.92

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Solution

The fourth proportional to 10,698.60, 16,041.07 and 4,462.92 is: 6,691.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.60 : 16,041.07 = 4,462.92 : x
  2. Step 2: Convert to fraction form
    10,698.60/16,041.07 = 4,462.92/x
  3. Step 3: Cross multiply
    10,698.60x = 16,041.07 × 4,462.92
  4. Step 4: Simplify right side
    10,698.60x = 71,590,012.12
  5. Step 5: Solve for x
    x = 71,590,012.12/10,698.60
  6. Step 6: Final answer
    x = 6,691.53

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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.