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Finding the Fourth Proportional to 10,612.76, 15,931.44 and 5,692.01

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Solution

The fourth proportional to 10,612.76, 15,931.44 and 5,692.01 is: 8,544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.76 : 15,931.44 = 5,692.01 : x
  2. Step 2: Convert to fraction form
    10,612.76/15,931.44 = 5,692.01/x
  3. Step 3: Cross multiply
    10,612.76x = 15,931.44 × 5,692.01
  4. Step 4: Simplify right side
    10,612.76x = 90,681,907.35
  5. Step 5: Solve for x
    x = 90,681,907.35/10,612.76
  6. Step 6: Final answer
    x = 8,544.61

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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.