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Finding the Fourth Proportional to 7,225.58, 10,838.27 and 2,295.14

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Solution

The fourth proportional to 7,225.58, 10,838.27 and 2,295.14 is: 3,442.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.58 : 10,838.27 = 2,295.14 : x
  2. Step 2: Convert to fraction form
    7,225.58/10,838.27 = 2,295.14/x
  3. Step 3: Cross multiply
    7,225.58x = 10,838.27 × 2,295.14
  4. Step 4: Simplify right side
    7,225.58x = 24,875,335.53
  5. Step 5: Solve for x
    x = 24,875,335.53/7,225.58
  6. Step 6: Final answer
    x = 3,442.68

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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.