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Finding the Fourth Proportional to 10,900.22, 15,041.85 and 6,424.16

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Solution

The fourth proportional to 10,900.22, 15,041.85 and 6,424.16 is: 8,865.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.22 : 15,041.85 = 6,424.16 : x
  2. Step 2: Convert to fraction form
    10,900.22/15,041.85 = 6,424.16/x
  3. Step 3: Cross multiply
    10,900.22x = 15,041.85 × 6,424.16
  4. Step 4: Simplify right side
    10,900.22x = 96,631,251.10
  5. Step 5: Solve for x
    x = 96,631,251.10/10,900.22
  6. Step 6: Final answer
    x = 8,865.07

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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.