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Finding the Fourth Proportional to 10,543.46, 15,804.17 and 4,990.19

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Solution

The fourth proportional to 10,543.46, 15,804.17 and 4,990.19 is: 7,480.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,543.46 : 15,804.17 = 4,990.19 : x
  2. Step 2: Convert to fraction form
    10,543.46/15,804.17 = 4,990.19/x
  3. Step 3: Cross multiply
    10,543.46x = 15,804.17 × 4,990.19
  4. Step 4: Simplify right side
    10,543.46x = 78,865,811.09
  5. Step 5: Solve for x
    x = 78,865,811.09/10,543.46
  6. Step 6: Final answer
    x = 7,480.07

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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.