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Finding the Fourth Proportional to 10,864.80, 16,295.52 and 4,295.52

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Solution

The fourth proportional to 10,864.80, 16,295.52 and 4,295.52 is: 6,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,864.80 : 16,295.52 = 4,295.52 : x
  2. Step 2: Convert to fraction form
    10,864.80/16,295.52 = 4,295.52/x
  3. Step 3: Cross multiply
    10,864.80x = 16,295.52 × 4,295.52
  4. Step 4: Simplify right side
    10,864.80x = 69,997,732.07
  5. Step 5: Solve for x
    x = 69,997,732.07/10,864.80
  6. Step 6: Final answer
    x = 6,442.62

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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.