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Finding the Fourth Proportional to 12,415.10, 17,135.55 and 7,639.16

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Solution

The fourth proportional to 12,415.10, 17,135.55 and 7,639.16 is: 10,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.10 : 17,135.55 = 7,639.16 : x
  2. Step 2: Convert to fraction form
    12,415.10/17,135.55 = 7,639.16/x
  3. Step 3: Cross multiply
    12,415.10x = 17,135.55 × 7,639.16
  4. Step 4: Simplify right side
    12,415.10x = 130,901,122.46
  5. Step 5: Solve for x
    x = 130,901,122.46/12,415.10
  6. Step 6: Final answer
    x = 10,543.71

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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.