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Finding the Fourth Proportional to 11,443.54, 15,790.78 and 6,407.06

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Solution

The fourth proportional to 11,443.54, 15,790.78 and 6,407.06 is: 8,841.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.54 : 15,790.78 = 6,407.06 : x
  2. Step 2: Convert to fraction form
    11,443.54/15,790.78 = 6,407.06/x
  3. Step 3: Cross multiply
    11,443.54x = 15,790.78 × 6,407.06
  4. Step 4: Simplify right side
    11,443.54x = 101,172,474.91
  5. Step 5: Solve for x
    x = 101,172,474.91/11,443.54
  6. Step 6: Final answer
    x = 8,841.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.