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Finding the Fourth Proportional to 8,577.54, 11,837.07 and 4,851.54

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Solution

The fourth proportional to 8,577.54, 11,837.07 and 4,851.54 is: 6,695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.54 : 11,837.07 = 4,851.54 : x
  2. Step 2: Convert to fraction form
    8,577.54/11,837.07 = 4,851.54/x
  3. Step 3: Cross multiply
    8,577.54x = 11,837.07 × 4,851.54
  4. Step 4: Simplify right side
    8,577.54x = 57,428,018.59
  5. Step 5: Solve for x
    x = 57,428,018.59/8,577.54
  6. Step 6: Final answer
    x = 6,695.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.