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Finding the Fourth Proportional to 11,707.50, 16,156.62 and 7,234.32

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Solution

The fourth proportional to 11,707.50, 16,156.62 and 7,234.32 is: 9,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.50 : 16,156.62 = 7,234.32 : x
  2. Step 2: Convert to fraction form
    11,707.50/16,156.62 = 7,234.32/x
  3. Step 3: Cross multiply
    11,707.50x = 16,156.62 × 7,234.32
  4. Step 4: Simplify right side
    11,707.50x = 116,882,159.20
  5. Step 5: Solve for x
    x = 116,882,159.20/11,707.50
  6. Step 6: Final answer
    x = 9,983.53

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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.