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Finding the Fourth Proportional to 11,798.86, 16,284.02 and 10,802.36

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Solution

The fourth proportional to 11,798.86, 16,284.02 and 10,802.36 is: 14,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.86 : 16,284.02 = 10,802.36 : x
  2. Step 2: Convert to fraction form
    11,798.86/16,284.02 = 10,802.36/x
  3. Step 3: Cross multiply
    11,798.86x = 16,284.02 × 10,802.36
  4. Step 4: Simplify right side
    11,798.86x = 175,905,846.29
  5. Step 5: Solve for x
    x = 175,905,846.29/11,798.86
  6. Step 6: Final answer
    x = 14,908.72

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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.