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Finding the Fourth Proportional to 7,722.65, 11,587.34 and 3,046.08

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Solution

The fourth proportional to 7,722.65, 11,587.34 and 3,046.08 is: 4,570.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.65 : 11,587.34 = 3,046.08 : x
  2. Step 2: Convert to fraction form
    7,722.65/11,587.34 = 3,046.08/x
  3. Step 3: Cross multiply
    7,722.65x = 11,587.34 × 3,046.08
  4. Step 4: Simplify right side
    7,722.65x = 35,295,978.82
  5. Step 5: Solve for x
    x = 35,295,978.82/7,722.65
  6. Step 6: Final answer
    x = 4,570.45

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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.