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Finding the Fourth Proportional to 10,182.36, 14,051.82 and 5,707.11

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Solution

The fourth proportional to 10,182.36, 14,051.82 and 5,707.11 is: 7,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.36 : 14,051.82 = 5,707.11 : x
  2. Step 2: Convert to fraction form
    10,182.36/14,051.82 = 5,707.11/x
  3. Step 3: Cross multiply
    10,182.36x = 14,051.82 × 5,707.11
  4. Step 4: Simplify right side
    10,182.36x = 80,195,212.18
  5. Step 5: Solve for x
    x = 80,195,212.18/10,182.36
  6. Step 6: Final answer
    x = 7,875.90

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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.