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Finding the Fourth Proportional to 10,356.46, 15,521.72 and 8,156.50

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Solution

The fourth proportional to 10,356.46, 15,521.72 and 8,156.50 is: 12,224.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.46 : 15,521.72 = 8,156.50 : x
  2. Step 2: Convert to fraction form
    10,356.46/15,521.72 = 8,156.50/x
  3. Step 3: Cross multiply
    10,356.46x = 15,521.72 × 8,156.50
  4. Step 4: Simplify right side
    10,356.46x = 126,602,909.18
  5. Step 5: Solve for x
    x = 126,602,909.18/10,356.46
  6. Step 6: Final answer
    x = 12,224.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.