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Finding the Fourth Proportional to 11,807.37, 16,288.95 and 7,322.13

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Solution

The fourth proportional to 11,807.37, 16,288.95 and 7,322.13 is: 10,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.37 : 16,288.95 = 7,322.13 : x
  2. Step 2: Convert to fraction form
    11,807.37/16,288.95 = 7,322.13/x
  3. Step 3: Cross multiply
    11,807.37x = 16,288.95 × 7,322.13
  4. Step 4: Simplify right side
    11,807.37x = 119,269,809.46
  5. Step 5: Solve for x
    x = 119,269,809.46/11,807.37
  6. Step 6: Final answer
    x = 10,101.30

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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.