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Finding the Fourth Proportional to 10,174.70, 15,262.25 and 4,624.17

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Solution

The fourth proportional to 10,174.70, 15,262.25 and 4,624.17 is: 6,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.70 : 15,262.25 = 4,624.17 : x
  2. Step 2: Convert to fraction form
    10,174.70/15,262.25 = 4,624.17/x
  3. Step 3: Cross multiply
    10,174.70x = 15,262.25 × 4,624.17
  4. Step 4: Simplify right side
    10,174.70x = 70,575,215.46
  5. Step 5: Solve for x
    x = 70,575,215.46/10,174.70
  6. Step 6: Final answer
    x = 6,936.35

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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.