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Finding the Fourth Proportional to 10,102.66, 13,941.18 and 5,853.51

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Solution

The fourth proportional to 10,102.66, 13,941.18 and 5,853.51 is: 8,077.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,102.66 : 13,941.18 = 5,853.51 : x
  2. Step 2: Convert to fraction form
    10,102.66/13,941.18 = 5,853.51/x
  3. Step 3: Cross multiply
    10,102.66x = 13,941.18 × 5,853.51
  4. Step 4: Simplify right side
    10,102.66x = 81,604,836.54
  5. Step 5: Solve for x
    x = 81,604,836.54/10,102.66
  6. Step 6: Final answer
    x = 8,077.56

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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.