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Finding the Fourth Proportional to 11,838.32, 17,760.30 and 4,047.20

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Solution

The fourth proportional to 11,838.32, 17,760.30 and 4,047.20 is: 6,071.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.32 : 17,760.30 = 4,047.20 : x
  2. Step 2: Convert to fraction form
    11,838.32/17,760.30 = 4,047.20/x
  3. Step 3: Cross multiply
    11,838.32x = 17,760.30 × 4,047.20
  4. Step 4: Simplify right side
    11,838.32x = 71,879,486.16
  5. Step 5: Solve for x
    x = 71,879,486.16/11,838.32
  6. Step 6: Final answer
    x = 6,071.76

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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.