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Finding the Fourth Proportional to 7,186.32, 10,774.82 and 3,024.17

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Solution

The fourth proportional to 7,186.32, 10,774.82 and 3,024.17 is: 4,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,186.32 : 10,774.82 = 3,024.17 : x
  2. Step 2: Convert to fraction form
    7,186.32/10,774.82 = 3,024.17/x
  3. Step 3: Cross multiply
    7,186.32x = 10,774.82 × 3,024.17
  4. Step 4: Simplify right side
    7,186.32x = 32,584,881.49
  5. Step 5: Solve for x
    x = 32,584,881.49/7,186.32
  6. Step 6: Final answer
    x = 4,534.29

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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.