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Finding the Fourth Proportional to 10,497.77, 14,474.90 and 7,840.69

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Solution

The fourth proportional to 10,497.77, 14,474.90 and 7,840.69 is: 10,811.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.77 : 14,474.90 = 7,840.69 : x
  2. Step 2: Convert to fraction form
    10,497.77/14,474.90 = 7,840.69/x
  3. Step 3: Cross multiply
    10,497.77x = 14,474.90 × 7,840.69
  4. Step 4: Simplify right side
    10,497.77x = 113,493,203.68
  5. Step 5: Solve for x
    x = 113,493,203.68/10,497.77
  6. Step 6: Final answer
    x = 10,811.17

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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.