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Finding the Fourth Proportional to 7,844.64, 10,826.64 and 5,058.24

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Solution

The fourth proportional to 7,844.64, 10,826.64 and 5,058.24 is: 6,981.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.64 : 10,826.64 = 5,058.24 : x
  2. Step 2: Convert to fraction form
    7,844.64/10,826.64 = 5,058.24/x
  3. Step 3: Cross multiply
    7,844.64x = 10,826.64 × 5,058.24
  4. Step 4: Simplify right side
    7,844.64x = 54,763,743.51
  5. Step 5: Solve for x
    x = 54,763,743.51/7,844.64
  6. Step 6: Final answer
    x = 6,981.04

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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.