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Finding the Fourth Proportional to 11,588.70, 15,994.62 and 6,875.58

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Solution

The fourth proportional to 11,588.70, 15,994.62 and 6,875.58 is: 9,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.70 : 15,994.62 = 6,875.58 : x
  2. Step 2: Convert to fraction form
    11,588.70/15,994.62 = 6,875.58/x
  3. Step 3: Cross multiply
    11,588.70x = 15,994.62 × 6,875.58
  4. Step 4: Simplify right side
    11,588.70x = 109,972,289.38
  5. Step 5: Solve for x
    x = 109,972,289.38/11,588.70
  6. Step 6: Final answer
    x = 9,489.61

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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.