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Finding the Fourth Proportional to 7,762.20, 10,714.14 and 4,782.30

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Solution

The fourth proportional to 7,762.20, 10,714.14 and 4,782.30 is: 6,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.20 : 10,714.14 = 4,782.30 : x
  2. Step 2: Convert to fraction form
    7,762.20/10,714.14 = 4,782.30/x
  3. Step 3: Cross multiply
    7,762.20x = 10,714.14 × 4,782.30
  4. Step 4: Simplify right side
    7,762.20x = 51,238,231.72
  5. Step 5: Solve for x
    x = 51,238,231.72/7,762.20
  6. Step 6: Final answer
    x = 6,600.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.