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Finding the Fourth Proportional to 10,486.16, 14,471 and 6,009.82

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Solution

The fourth proportional to 10,486.16, 14,471 and 6,009.82 is: 8,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.16 : 14,471 = 6,009.82 : x
  2. Step 2: Convert to fraction form
    10,486.16/14,471 = 6,009.82/x
  3. Step 3: Cross multiply
    10,486.16x = 14,471 × 6,009.82
  4. Step 4: Simplify right side
    10,486.16x = 86,968,105.22
  5. Step 5: Solve for x
    x = 86,968,105.22/10,486.16
  6. Step 6: Final answer
    x = 8,293.61

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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.