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Finding the Fourth Proportional to 10,108.14, 15,164.18 and 3,088.47

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Solution

The fourth proportional to 10,108.14, 15,164.18 and 3,088.47 is: 4,633.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,108.14 : 15,164.18 = 3,088.47 : x
  2. Step 2: Convert to fraction form
    10,108.14/15,164.18 = 3,088.47/x
  3. Step 3: Cross multiply
    10,108.14x = 15,164.18 × 3,088.47
  4. Step 4: Simplify right side
    10,108.14x = 46,834,168.01
  5. Step 5: Solve for x
    x = 46,834,168.01/10,108.14
  6. Step 6: Final answer
    x = 4,633.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.