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Finding the Fourth Proportional to 7,001.82, 10,492.17 and 4,225.41

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Solution

The fourth proportional to 7,001.82, 10,492.17 and 4,225.41 is: 6,331.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.82 : 10,492.17 = 4,225.41 : x
  2. Step 2: Convert to fraction form
    7,001.82/10,492.17 = 4,225.41/x
  3. Step 3: Cross multiply
    7,001.82x = 10,492.17 × 4,225.41
  4. Step 4: Simplify right side
    7,001.82x = 44,333,720.04
  5. Step 5: Solve for x
    x = 44,333,720.04/7,001.82
  6. Step 6: Final answer
    x = 6,331.74

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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.