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Finding the Fourth Proportional to 10,490.42, 14,474.94 and 6,298.76

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Solution

The fourth proportional to 10,490.42, 14,474.94 and 6,298.76 is: 8,691.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.42 : 14,474.94 = 6,298.76 : x
  2. Step 2: Convert to fraction form
    10,490.42/14,474.94 = 6,298.76/x
  3. Step 3: Cross multiply
    10,490.42x = 14,474.94 × 6,298.76
  4. Step 4: Simplify right side
    10,490.42x = 91,174,173.07
  5. Step 5: Solve for x
    x = 91,174,173.07/10,490.42
  6. Step 6: Final answer
    x = 8,691.18

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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.