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Finding the Fourth Proportional to 10,764.32, 16,143.32 and 4,188.93

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Solution

The fourth proportional to 10,764.32, 16,143.32 and 4,188.93 is: 6,282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.32 : 16,143.32 = 4,188.93 : x
  2. Step 2: Convert to fraction form
    10,764.32/16,143.32 = 4,188.93/x
  3. Step 3: Cross multiply
    10,764.32x = 16,143.32 × 4,188.93
  4. Step 4: Simplify right side
    10,764.32x = 67,623,216.50
  5. Step 5: Solve for x
    x = 67,623,216.50/10,764.32
  6. Step 6: Final answer
    x = 6,282.17

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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.