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Finding the Fourth Proportional to 10,485.97, 14,470.68 and 6,009.82

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Solution

The fourth proportional to 10,485.97, 14,470.68 and 6,009.82 is: 8,293.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.97 : 14,470.68 = 6,009.82 : x
  2. Step 2: Convert to fraction form
    10,485.97/14,470.68 = 6,009.82/x
  3. Step 3: Cross multiply
    10,485.97x = 14,470.68 × 6,009.82
  4. Step 4: Simplify right side
    10,485.97x = 86,966,182.08
  5. Step 5: Solve for x
    x = 86,966,182.08/10,485.97
  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.