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Finding the Fourth Proportional to 10,322.99, 14,251.63 and 6,796.45

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Solution

The fourth proportional to 10,322.99, 14,251.63 and 6,796.45 is: 9,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.99 : 14,251.63 = 6,796.45 : x
  2. Step 2: Convert to fraction form
    10,322.99/14,251.63 = 6,796.45/x
  3. Step 3: Cross multiply
    10,322.99x = 14,251.63 × 6,796.45
  4. Step 4: Simplify right side
    10,322.99x = 96,860,490.71
  5. Step 5: Solve for x
    x = 96,860,490.71/10,322.99
  6. Step 6: Final answer
    x = 9,382.99

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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.