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Finding the Fourth Proportional to 11,803, 16,288.05 and 7,026.22

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Solution

The fourth proportional to 11,803, 16,288.05 and 7,026.22 is: 9,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803 : 16,288.05 = 7,026.22 : x
  2. Step 2: Convert to fraction form
    11,803/16,288.05 = 7,026.22/x
  3. Step 3: Cross multiply
    11,803x = 16,288.05 × 7,026.22
  4. Step 4: Simplify right side
    11,803x = 114,443,422.67
  5. Step 5: Solve for x
    x = 114,443,422.67/11,803
  6. Step 6: Final answer
    x = 9,696.13

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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.