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Finding the Fourth Proportional to 11,848.50, 16,350.50 and 6,543.30

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Solution

The fourth proportional to 11,848.50, 16,350.50 and 6,543.30 is: 9,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.50 : 16,350.50 = 6,543.30 : x
  2. Step 2: Convert to fraction form
    11,848.50/16,350.50 = 6,543.30/x
  3. Step 3: Cross multiply
    11,848.50x = 16,350.50 × 6,543.30
  4. Step 4: Simplify right side
    11,848.50x = 106,986,226.65
  5. Step 5: Solve for x
    x = 106,986,226.65/11,848.50
  6. Step 6: Final answer
    x = 9,029.52

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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.