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Finding the Fourth Proportional to 11,707.96, 16,158.54 and 7,528.36

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Solution

The fourth proportional to 11,707.96, 16,158.54 and 7,528.36 is: 10,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.96 : 16,158.54 = 7,528.36 : x
  2. Step 2: Convert to fraction form
    11,707.96/16,158.54 = 7,528.36/x
  3. Step 3: Cross multiply
    11,707.96x = 16,158.54 × 7,528.36
  4. Step 4: Simplify right side
    11,707.96x = 121,647,306.19
  5. Step 5: Solve for x
    x = 121,647,306.19/11,707.96
  6. Step 6: Final answer
    x = 10,390.14

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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.