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Finding the Fourth Proportional to 7,209.90, 10,814.63 and 3,048.78

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Solution

The fourth proportional to 7,209.90, 10,814.63 and 3,048.78 is: 4,573.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.90 : 10,814.63 = 3,048.78 : x
  2. Step 2: Convert to fraction form
    7,209.90/10,814.63 = 3,048.78/x
  3. Step 3: Cross multiply
    7,209.90x = 10,814.63 × 3,048.78
  4. Step 4: Simplify right side
    7,209.90x = 32,971,412.41
  5. Step 5: Solve for x
    x = 32,971,412.41/7,209.90
  6. Step 6: Final answer
    x = 4,573.07

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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.