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Finding the Fourth Proportional to 7,228.90, 10,830.57 and 5,033.38

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Solution

The fourth proportional to 7,228.90, 10,830.57 and 5,033.38 is: 7,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.90 : 10,830.57 = 5,033.38 : x
  2. Step 2: Convert to fraction form
    7,228.90/10,830.57 = 5,033.38/x
  3. Step 3: Cross multiply
    7,228.90x = 10,830.57 × 5,033.38
  4. Step 4: Simplify right side
    7,228.90x = 54,514,374.43
  5. Step 5: Solve for x
    x = 54,514,374.43/7,228.90
  6. Step 6: Final answer
    x = 7,541.17

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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.