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Finding the Fourth Proportional to 7,864.98, 10,853.85 and 4,328.42

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Solution

The fourth proportional to 7,864.98, 10,853.85 and 4,328.42 is: 5,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.98 : 10,853.85 = 4,328.42 : x
  2. Step 2: Convert to fraction form
    7,864.98/10,853.85 = 4,328.42/x
  3. Step 3: Cross multiply
    7,864.98x = 10,853.85 × 4,328.42
  4. Step 4: Simplify right side
    7,864.98x = 46,979,967.15
  5. Step 5: Solve for x
    x = 46,979,967.15/7,864.98
  6. Step 6: Final answer
    x = 5,973.31

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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.