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Finding the Fourth Proportional to 10,486.90, 14,470.27 and 6,009.79

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Solution

The fourth proportional to 10,486.90, 14,470.27 and 6,009.79 is: 8,292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.90 : 14,470.27 = 6,009.79 : x
  2. Step 2: Convert to fraction form
    10,486.90/14,470.27 = 6,009.79/x
  3. Step 3: Cross multiply
    10,486.90x = 14,470.27 × 6,009.79
  4. Step 4: Simplify right side
    10,486.90x = 86,963,283.94
  5. Step 5: Solve for x
    x = 86,963,283.94/10,486.90
  6. Step 6: Final answer
    x = 8,292.56

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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.