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Finding the Fourth Proportional to 12,112.09, 16,717.48 and 7,641.95

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Solution

The fourth proportional to 12,112.09, 16,717.48 and 7,641.95 is: 10,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.09 : 16,717.48 = 7,641.95 : x
  2. Step 2: Convert to fraction form
    12,112.09/16,717.48 = 7,641.95/x
  3. Step 3: Cross multiply
    12,112.09x = 16,717.48 × 7,641.95
  4. Step 4: Simplify right side
    12,112.09x = 127,754,043.59
  5. Step 5: Solve for x
    x = 127,754,043.59/12,112.09
  6. Step 6: Final answer
    x = 10,547.65

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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.