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Finding the Fourth Proportional to 10,448.93, 15,673.49 and 2,657.74

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Solution

The fourth proportional to 10,448.93, 15,673.49 and 2,657.74 is: 3,986.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.93 : 15,673.49 = 2,657.74 : x
  2. Step 2: Convert to fraction form
    10,448.93/15,673.49 = 2,657.74/x
  3. Step 3: Cross multiply
    10,448.93x = 15,673.49 × 2,657.74
  4. Step 4: Simplify right side
    10,448.93x = 41,656,061.31
  5. Step 5: Solve for x
    x = 41,656,061.31/10,448.93
  6. Step 6: Final answer
    x = 3,986.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.