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Finding the Fourth Proportional to 7,209.17, 10,813.14 and 2,281.13

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Solution

The fourth proportional to 7,209.17, 10,813.14 and 2,281.13 is: 3,421.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.17 : 10,813.14 = 2,281.13 : x
  2. Step 2: Convert to fraction form
    7,209.17/10,813.14 = 2,281.13/x
  3. Step 3: Cross multiply
    7,209.17x = 10,813.14 × 2,281.13
  4. Step 4: Simplify right side
    7,209.17x = 24,666,123.98
  5. Step 5: Solve for x
    x = 24,666,123.98/7,209.17
  6. Step 6: Final answer
    x = 3,421.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.