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Finding the Fourth Proportional to 11,802.19, 16,287.02 and 6,497.01

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Solution

The fourth proportional to 11,802.19, 16,287.02 and 6,497.01 is: 8,965.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.19 : 16,287.02 = 6,497.01 : x
  2. Step 2: Convert to fraction form
    11,802.19/16,287.02 = 6,497.01/x
  3. Step 3: Cross multiply
    11,802.19x = 16,287.02 × 6,497.01
  4. Step 4: Simplify right side
    11,802.19x = 105,816,931.81
  5. Step 5: Solve for x
    x = 105,816,931.81/11,802.19
  6. Step 6: Final answer
    x = 8,965.87

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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.