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Finding the Fourth Proportional to 10,807.47, 16,205.67 and 4,959

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Solution

The fourth proportional to 10,807.47, 16,205.67 and 4,959 is: 7,435.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.47 : 16,205.67 = 4,959 : x
  2. Step 2: Convert to fraction form
    10,807.47/16,205.67 = 4,959/x
  3. Step 3: Cross multiply
    10,807.47x = 16,205.67 × 4,959
  4. Step 4: Simplify right side
    10,807.47x = 80,363,917.53
  5. Step 5: Solve for x
    x = 80,363,917.53/10,807.47
  6. Step 6: Final answer
    x = 7,435.96

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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.