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Finding the Fourth Proportional to 10,490.08, 15,797.62 and 9,461.92

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Solution

The fourth proportional to 10,490.08, 15,797.62 and 9,461.92 is: 14,249.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.08 : 15,797.62 = 9,461.92 : x
  2. Step 2: Convert to fraction form
    10,490.08/15,797.62 = 9,461.92/x
  3. Step 3: Cross multiply
    10,490.08x = 15,797.62 × 9,461.92
  4. Step 4: Simplify right side
    10,490.08x = 149,475,816.63
  5. Step 5: Solve for x
    x = 149,475,816.63/10,490.08
  6. Step 6: Final answer
    x = 14,249.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.