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Finding the Fourth Proportional to 7,752.20, 11,612.10 and 4,285.40

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Solution

The fourth proportional to 7,752.20, 11,612.10 and 4,285.40 is: 6,419.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.20 : 11,612.10 = 4,285.40 : x
  2. Step 2: Convert to fraction form
    7,752.20/11,612.10 = 4,285.40/x
  3. Step 3: Cross multiply
    7,752.20x = 11,612.10 × 4,285.40
  4. Step 4: Simplify right side
    7,752.20x = 49,762,493.34
  5. Step 5: Solve for x
    x = 49,762,493.34/7,752.20
  6. Step 6: Final answer
    x = 6,419.14

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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.