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Finding the Fourth Proportional to 10,782.88, 16,148.40 and 6,151.84

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Solution

The fourth proportional to 10,782.88, 16,148.40 and 6,151.84 is: 9,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.88 : 16,148.40 = 6,151.84 : x
  2. Step 2: Convert to fraction form
    10,782.88/16,148.40 = 6,151.84/x
  3. Step 3: Cross multiply
    10,782.88x = 16,148.40 × 6,151.84
  4. Step 4: Simplify right side
    10,782.88x = 99,342,373.06
  5. Step 5: Solve for x
    x = 99,342,373.06/10,782.88
  6. Step 6: Final answer
    x = 9,212.97

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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.