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Finding the Fourth Proportional to 7,214.60, 10,813.80 and 3,053.90

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Solution

The fourth proportional to 7,214.60, 10,813.80 and 3,053.90 is: 4,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.60 : 10,813.80 = 3,053.90 : x
  2. Step 2: Convert to fraction form
    7,214.60/10,813.80 = 3,053.90/x
  3. Step 3: Cross multiply
    7,214.60x = 10,813.80 × 3,053.90
  4. Step 4: Simplify right side
    7,214.60x = 33,024,263.82
  5. Step 5: Solve for x
    x = 33,024,263.82/7,214.60
  6. Step 6: Final answer
    x = 4,577.42

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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.