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Finding the Fourth Proportional to 11,235.87, 16,864.16 and 5,693.10

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Solution

The fourth proportional to 11,235.87, 16,864.16 and 5,693.10 is: 8,544.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235.87 : 16,864.16 = 5,693.10 : x
  2. Step 2: Convert to fraction form
    11,235.87/16,864.16 = 5,693.10/x
  3. Step 3: Cross multiply
    11,235.87x = 16,864.16 × 5,693.10
  4. Step 4: Simplify right side
    11,235.87x = 96,009,320.83
  5. Step 5: Solve for x
    x = 96,009,320.83/11,235.87
  6. Step 6: Final answer
    x = 8,544.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.