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Finding the Fourth Proportional to 7,468.29, 10,307.82 and 4,282.11

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Solution

The fourth proportional to 7,468.29, 10,307.82 and 4,282.11 is: 5,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.29 : 10,307.82 = 4,282.11 : x
  2. Step 2: Convert to fraction form
    7,468.29/10,307.82 = 4,282.11/x
  3. Step 3: Cross multiply
    7,468.29x = 10,307.82 × 4,282.11
  4. Step 4: Simplify right side
    7,468.29x = 44,139,219.10
  5. Step 5: Solve for x
    x = 44,139,219.10/7,468.29
  6. Step 6: Final answer
    x = 5,910.22

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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.