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Finding the Fourth Proportional to 11,422.53, 15,758.64 and 7,171.77

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Solution

The fourth proportional to 11,422.53, 15,758.64 and 7,171.77 is: 9,894.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.53 : 15,758.64 = 7,171.77 : x
  2. Step 2: Convert to fraction form
    11,422.53/15,758.64 = 7,171.77/x
  3. Step 3: Cross multiply
    11,422.53x = 15,758.64 × 7,171.77
  4. Step 4: Simplify right side
    11,422.53x = 113,017,341.59
  5. Step 5: Solve for x
    x = 113,017,341.59/11,422.53
  6. Step 6: Final answer
    x = 9,894.25

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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.