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Finding the Fourth Proportional to 11,798.64, 17,659.08 and 10,502.64

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Solution

The fourth proportional to 11,798.64, 17,659.08 and 10,502.64 is: 15,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.64 : 17,659.08 = 10,502.64 : x
  2. Step 2: Convert to fraction form
    11,798.64/17,659.08 = 10,502.64/x
  3. Step 3: Cross multiply
    11,798.64x = 17,659.08 × 10,502.64
  4. Step 4: Simplify right side
    11,798.64x = 185,466,959.97
  5. Step 5: Solve for x
    x = 185,466,959.97/11,798.64
  6. Step 6: Final answer
    x = 15,719.35

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