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Finding the Fourth Proportional to 11,838.48, 17,718.48 and 6,565.20

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Solution

The fourth proportional to 11,838.48, 17,718.48 and 6,565.20 is: 9,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.48 : 17,718.48 = 6,565.20 : x
  2. Step 2: Convert to fraction form
    11,838.48/17,718.48 = 6,565.20/x
  3. Step 3: Cross multiply
    11,838.48x = 17,718.48 × 6,565.20
  4. Step 4: Simplify right side
    11,838.48x = 116,325,364.90
  5. Step 5: Solve for x
    x = 116,325,364.90/11,838.48
  6. Step 6: Final answer
    x = 9,826.04

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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.