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Finding the Fourth Proportional to 7,775.42, 11,652.68 and 4,260.14

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Solution

The fourth proportional to 7,775.42, 11,652.68 and 4,260.14 is: 6,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.42 : 11,652.68 = 4,260.14 : x
  2. Step 2: Convert to fraction form
    7,775.42/11,652.68 = 4,260.14/x
  3. Step 3: Cross multiply
    7,775.42x = 11,652.68 × 4,260.14
  4. Step 4: Simplify right side
    7,775.42x = 49,642,048.18
  5. Step 5: Solve for x
    x = 49,642,048.18/7,775.42
  6. Step 6: Final answer
    x = 6,384.48

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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.