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Finding the Fourth Proportional to 10,599.92, 15,886.84 and 6,220.40

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Solution

The fourth proportional to 10,599.92, 15,886.84 and 6,220.40 is: 9,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,599.92 : 15,886.84 = 6,220.40 : x
  2. Step 2: Convert to fraction form
    10,599.92/15,886.84 = 6,220.40/x
  3. Step 3: Cross multiply
    10,599.92x = 15,886.84 × 6,220.40
  4. Step 4: Simplify right side
    10,599.92x = 98,822,499.54
  5. Step 5: Solve for x
    x = 98,822,499.54/10,599.92
  6. Step 6: Final answer
    x = 9,322.95

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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.