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Finding the Fourth Proportional to 10,463.36, 14,431.44 and 7,108.76

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Solution

The fourth proportional to 10,463.36, 14,431.44 and 7,108.76 is: 9,804.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.36 : 14,431.44 = 7,108.76 : x
  2. Step 2: Convert to fraction form
    10,463.36/14,431.44 = 7,108.76/x
  3. Step 3: Cross multiply
    10,463.36x = 14,431.44 × 7,108.76
  4. Step 4: Simplify right side
    10,463.36x = 102,589,643.41
  5. Step 5: Solve for x
    x = 102,589,643.41/10,463.36
  6. Step 6: Final answer
    x = 9,804.66

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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.