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Finding the Fourth Proportional to 7,864.78, 10,853.21 and 4,509.56

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Solution

The fourth proportional to 7,864.78, 10,853.21 and 4,509.56 is: 6,223.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.78 : 10,853.21 = 4,509.56 : x
  2. Step 2: Convert to fraction form
    7,864.78/10,853.21 = 4,509.56/x
  3. Step 3: Cross multiply
    7,864.78x = 10,853.21 × 4,509.56
  4. Step 4: Simplify right side
    7,864.78x = 48,943,163.28
  5. Step 5: Solve for x
    x = 48,943,163.28/7,864.78
  6. Step 6: Final answer
    x = 6,223.08

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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.