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Finding the Fourth Proportional to 7,148.36, 10,710.84 and 6,874.99

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Solution

The fourth proportional to 7,148.36, 10,710.84 and 6,874.99 is: 10,301.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.36 : 10,710.84 = 6,874.99 : x
  2. Step 2: Convert to fraction form
    7,148.36/10,710.84 = 6,874.99/x
  3. Step 3: Cross multiply
    7,148.36x = 10,710.84 × 6,874.99
  4. Step 4: Simplify right side
    7,148.36x = 73,636,916.90
  5. Step 5: Solve for x
    x = 73,636,916.90/7,148.36
  6. Step 6: Final answer
    x = 10,301.23

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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.