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Finding the Fourth Proportional to 7,984.29, 11,018.66 and 4,447.50

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Solution

The fourth proportional to 7,984.29, 11,018.66 and 4,447.50 is: 6,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.29 : 11,018.66 = 4,447.50 : x
  2. Step 2: Convert to fraction form
    7,984.29/11,018.66 = 4,447.50/x
  3. Step 3: Cross multiply
    7,984.29x = 11,018.66 × 4,447.50
  4. Step 4: Simplify right side
    7,984.29x = 49,005,468.11
  5. Step 5: Solve for x
    x = 49,005,468.11/7,984.29
  6. Step 6: Final answer
    x = 6,137.74

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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.