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Finding the Fourth Proportional to 11,417.64, 17,127.52 and 4,490.52

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Solution

The fourth proportional to 11,417.64, 17,127.52 and 4,490.52 is: 6,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.64 : 17,127.52 = 4,490.52 : x
  2. Step 2: Convert to fraction form
    11,417.64/17,127.52 = 4,490.52/x
  3. Step 3: Cross multiply
    11,417.64x = 17,127.52 × 4,490.52
  4. Step 4: Simplify right side
    11,417.64x = 76,911,471.11
  5. Step 5: Solve for x
    x = 76,911,471.11/11,417.64
  6. Step 6: Final answer
    x = 6,736.20

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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.