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Finding the Fourth Proportional to 7,653.57, 11,456.49 and 5,894.01

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Solution

The fourth proportional to 7,653.57, 11,456.49 and 5,894.01 is: 8,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.57 : 11,456.49 = 5,894.01 : x
  2. Step 2: Convert to fraction form
    7,653.57/11,456.49 = 5,894.01/x
  3. Step 3: Cross multiply
    7,653.57x = 11,456.49 × 5,894.01
  4. Step 4: Simplify right side
    7,653.57x = 67,524,666.62
  5. Step 5: Solve for x
    x = 67,524,666.62/7,653.57
  6. Step 6: Final answer
    x = 8,822.64

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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.