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Finding the Fourth Proportional to 10,456.30, 15,706.32 and 8,816.05

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Solution

The fourth proportional to 10,456.30, 15,706.32 and 8,816.05 is: 13,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.30 : 15,706.32 = 8,816.05 : x
  2. Step 2: Convert to fraction form
    10,456.30/15,706.32 = 8,816.05/x
  3. Step 3: Cross multiply
    10,456.30x = 15,706.32 × 8,816.05
  4. Step 4: Simplify right side
    10,456.30x = 138,467,702.44
  5. Step 5: Solve for x
    x = 138,467,702.44/10,456.30
  6. Step 6: Final answer
    x = 13,242.51

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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.