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Finding the Fourth Proportional to 10,356.14, 15,521.88 and 5,964.50

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Solution

The fourth proportional to 10,356.14, 15,521.88 and 5,964.50 is: 8,939.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.14 : 15,521.88 = 5,964.50 : x
  2. Step 2: Convert to fraction form
    10,356.14/15,521.88 = 5,964.50/x
  3. Step 3: Cross multiply
    10,356.14x = 15,521.88 × 5,964.50
  4. Step 4: Simplify right side
    10,356.14x = 92,580,253.26
  5. Step 5: Solve for x
    x = 92,580,253.26/10,356.14
  6. Step 6: Final answer
    x = 8,939.65

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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.