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Finding the Fourth Proportional to 10,486.30, 14,471.07 and 6,009.85

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Solution

The fourth proportional to 10,486.30, 14,471.07 and 6,009.85 is: 8,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.30 : 14,471.07 = 6,009.85 : x
  2. Step 2: Convert to fraction form
    10,486.30/14,471.07 = 6,009.85/x
  3. Step 3: Cross multiply
    10,486.30x = 14,471.07 × 6,009.85
  4. Step 4: Simplify right side
    10,486.30x = 86,968,960.04
  5. Step 5: Solve for x
    x = 86,968,960.04/10,486.30
  6. Step 6: Final answer
    x = 8,293.58

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