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Finding the Fourth Proportional to 8,006.26, 12,011.14 and 2,460

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Solution

The fourth proportional to 8,006.26, 12,011.14 and 2,460 is: 3,690.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.26 : 12,011.14 = 2,460 : x
  2. Step 2: Convert to fraction form
    8,006.26/12,011.14 = 2,460/x
  3. Step 3: Cross multiply
    8,006.26x = 12,011.14 × 2,460
  4. Step 4: Simplify right side
    8,006.26x = 29,547,404.40
  5. Step 5: Solve for x
    x = 29,547,404.40/8,006.26
  6. Step 6: Final answer
    x = 3,690.54

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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.