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Finding the Fourth Proportional to 7,253.63, 10,009.82 and 4,109.82

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Solution

The fourth proportional to 7,253.63, 10,009.82 and 4,109.82 is: 5,671.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253.63 : 10,009.82 = 4,109.82 : x
  2. Step 2: Convert to fraction form
    7,253.63/10,009.82 = 4,109.82/x
  3. Step 3: Cross multiply
    7,253.63x = 10,009.82 × 4,109.82
  4. Step 4: Simplify right side
    7,253.63x = 41,138,568.71
  5. Step 5: Solve for x
    x = 41,138,568.71/7,253.63
  6. Step 6: Final answer
    x = 5,671.44

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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.