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Finding the Fourth Proportional to 10,588.84, 14,609.22 and 6,112

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Solution

The fourth proportional to 10,588.84, 14,609.22 and 6,112 is: 8,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.84 : 14,609.22 = 6,112 : x
  2. Step 2: Convert to fraction form
    10,588.84/14,609.22 = 6,112/x
  3. Step 3: Cross multiply
    10,588.84x = 14,609.22 × 6,112
  4. Step 4: Simplify right side
    10,588.84x = 89,291,552.64
  5. Step 5: Solve for x
    x = 89,291,552.64/10,588.84
  6. Step 6: Final answer
    x = 8,432.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.