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Finding the Fourth Proportional to 7,057.78, 10,586.67 and 2,897.08

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Solution

The fourth proportional to 7,057.78, 10,586.67 and 2,897.08 is: 4,345.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.78 : 10,586.67 = 2,897.08 : x
  2. Step 2: Convert to fraction form
    7,057.78/10,586.67 = 2,897.08/x
  3. Step 3: Cross multiply
    7,057.78x = 10,586.67 × 2,897.08
  4. Step 4: Simplify right side
    7,057.78x = 30,670,429.92
  5. Step 5: Solve for x
    x = 30,670,429.92/7,057.78
  6. Step 6: Final answer
    x = 4,345.62

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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.