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Finding the Fourth Proportional to 7,864.97, 10,853.73 and 4,328.24

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Solution

The fourth proportional to 7,864.97, 10,853.73 and 4,328.24 is: 5,973.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.97 : 10,853.73 = 4,328.24 : x
  2. Step 2: Convert to fraction form
    7,864.97/10,853.73 = 4,328.24/x
  3. Step 3: Cross multiply
    7,864.97x = 10,853.73 × 4,328.24
  4. Step 4: Simplify right side
    7,864.97x = 46,977,494.07
  5. Step 5: Solve for x
    x = 46,977,494.07/7,864.97
  6. Step 6: Final answer
    x = 5,973.01

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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.