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Finding the Fourth Proportional to 10,244.64, 15,374.25 and 7,906.98

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Solution

The fourth proportional to 10,244.64, 15,374.25 and 7,906.98 is: 11,866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,244.64 : 15,374.25 = 7,906.98 : x
  2. Step 2: Convert to fraction form
    10,244.64/15,374.25 = 7,906.98/x
  3. Step 3: Cross multiply
    10,244.64x = 15,374.25 × 7,906.98
  4. Step 4: Simplify right side
    10,244.64x = 121,563,887.27
  5. Step 5: Solve for x
    x = 121,563,887.27/10,244.64
  6. Step 6: Final answer
    x = 11,866.10

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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.