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Finding the Fourth Proportional to 13,077.10, 18,046.02 and 7,108.66

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Solution

The fourth proportional to 13,077.10, 18,046.02 and 7,108.66 is: 9,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.10 : 18,046.02 = 7,108.66 : x
  2. Step 2: Convert to fraction form
    13,077.10/18,046.02 = 7,108.66/x
  3. Step 3: Cross multiply
    13,077.10x = 18,046.02 × 7,108.66
  4. Step 4: Simplify right side
    13,077.10x = 128,283,020.53
  5. Step 5: Solve for x
    x = 128,283,020.53/13,077.10
  6. Step 6: Final answer
    x = 9,809.75

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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.