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Finding the Fourth Proportional to 11,356.42, 15,671.07 and 7,107.29

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Solution

The fourth proportional to 11,356.42, 15,671.07 and 7,107.29 is: 9,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.42 : 15,671.07 = 7,107.29 : x
  2. Step 2: Convert to fraction form
    11,356.42/15,671.07 = 7,107.29/x
  3. Step 3: Cross multiply
    11,356.42x = 15,671.07 × 7,107.29
  4. Step 4: Simplify right side
    11,356.42x = 111,378,907.66
  5. Step 5: Solve for x
    x = 111,378,907.66/11,356.42
  6. Step 6: Final answer
    x = 9,807.58

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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.