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Finding the Fourth Proportional to 10,184, 14,053.92 and 5,768

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Solution

The fourth proportional to 10,184, 14,053.92 and 5,768 is: 7,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,184 : 14,053.92 = 5,768 : x
  2. Step 2: Convert to fraction form
    10,184/14,053.92 = 5,768/x
  3. Step 3: Cross multiply
    10,184x = 14,053.92 × 5,768
  4. Step 4: Simplify right side
    10,184x = 81,063,010.56
  5. Step 5: Solve for x
    x = 81,063,010.56/10,184
  6. Step 6: Final answer
    x = 7,959.84

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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.