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Finding the Fourth Proportional to 7,006.16, 10,511.12 and 2,849.06

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Solution

The fourth proportional to 7,006.16, 10,511.12 and 2,849.06 is: 4,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.16 : 10,511.12 = 2,849.06 : x
  2. Step 2: Convert to fraction form
    7,006.16/10,511.12 = 2,849.06/x
  3. Step 3: Cross multiply
    7,006.16x = 10,511.12 × 2,849.06
  4. Step 4: Simplify right side
    7,006.16x = 29,946,844.95
  5. Step 5: Solve for x
    x = 29,946,844.95/7,006.16
  6. Step 6: Final answer
    x = 4,274.36

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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.