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Finding the Fourth Proportional to 7,210.20, 10,815.30 and 6,408.30

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Solution

The fourth proportional to 7,210.20, 10,815.30 and 6,408.30 is: 9,612.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.20 : 10,815.30 = 6,408.30 : x
  2. Step 2: Convert to fraction form
    7,210.20/10,815.30 = 6,408.30/x
  3. Step 3: Cross multiply
    7,210.20x = 10,815.30 × 6,408.30
  4. Step 4: Simplify right side
    7,210.20x = 69,307,686.99
  5. Step 5: Solve for x
    x = 69,307,686.99/7,210.20
  6. Step 6: Final answer
    x = 9,612.45

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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.