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Finding the Fourth Proportional to 7,162.34, 9,883.98 and 4,018.50

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Solution

The fourth proportional to 7,162.34, 9,883.98 and 4,018.50 is: 5,545.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.34 : 9,883.98 = 4,018.50 : x
  2. Step 2: Convert to fraction form
    7,162.34/9,883.98 = 4,018.50/x
  3. Step 3: Cross multiply
    7,162.34x = 9,883.98 × 4,018.50
  4. Step 4: Simplify right side
    7,162.34x = 39,718,773.63
  5. Step 5: Solve for x
    x = 39,718,773.63/7,162.34
  6. Step 6: Final answer
    x = 5,545.51

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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.