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Finding the Fourth Proportional to 11,798.64, 17,679.40 and 5,557.16

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Solution

The fourth proportional to 11,798.64, 17,679.40 and 5,557.16 is: 8,327.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.64 : 17,679.40 = 5,557.16 : x
  2. Step 2: Convert to fraction form
    11,798.64/17,679.40 = 5,557.16/x
  3. Step 3: Cross multiply
    11,798.64x = 17,679.40 × 5,557.16
  4. Step 4: Simplify right side
    11,798.64x = 98,247,254.50
  5. Step 5: Solve for x
    x = 98,247,254.50/11,798.64
  6. Step 6: Final answer
    x = 8,327.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.