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Finding the Fourth Proportional to 10,889.83, 15,020.91 and 6,409.82

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Solution

The fourth proportional to 10,889.83, 15,020.91 and 6,409.82 is: 8,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.83 : 15,020.91 = 6,409.82 : x
  2. Step 2: Convert to fraction form
    10,889.83/15,020.91 = 6,409.82/x
  3. Step 3: Cross multiply
    10,889.83x = 15,020.91 × 6,409.82
  4. Step 4: Simplify right side
    10,889.83x = 96,281,329.34
  5. Step 5: Solve for x
    x = 96,281,329.34/10,889.83
  6. Step 6: Final answer
    x = 8,841.40

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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.