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Finding the Fourth Proportional to 10,605.06, 15,906.14 and 5,869.98

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Solution

The fourth proportional to 10,605.06, 15,906.14 and 5,869.98 is: 8,804.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.06 : 15,906.14 = 5,869.98 : x
  2. Step 2: Convert to fraction form
    10,605.06/15,906.14 = 5,869.98/x
  3. Step 3: Cross multiply
    10,605.06x = 15,906.14 × 5,869.98
  4. Step 4: Simplify right side
    10,605.06x = 93,368,727.35
  5. Step 5: Solve for x
    x = 93,368,727.35/10,605.06
  6. Step 6: Final answer
    x = 8,804.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.