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Finding the Fourth Proportional to 13,115.16, 18,098.93 and 7,146.83

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Solution

The fourth proportional to 13,115.16, 18,098.93 and 7,146.83 is: 9,862.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.16 : 18,098.93 = 7,146.83 : x
  2. Step 2: Convert to fraction form
    13,115.16/18,098.93 = 7,146.83/x
  3. Step 3: Cross multiply
    13,115.16x = 18,098.93 × 7,146.83
  4. Step 4: Simplify right side
    13,115.16x = 129,349,975.89
  5. Step 5: Solve for x
    x = 129,349,975.89/13,115.16
  6. Step 6: Final answer
    x = 9,862.63

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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.