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Finding the Fourth Proportional to 7,772.58, 11,661.63 and 4,074.75

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Solution

The fourth proportional to 7,772.58, 11,661.63 and 4,074.75 is: 6,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.58 : 11,661.63 = 4,074.75 : x
  2. Step 2: Convert to fraction form
    7,772.58/11,661.63 = 4,074.75/x
  3. Step 3: Cross multiply
    7,772.58x = 11,661.63 × 4,074.75
  4. Step 4: Simplify right side
    7,772.58x = 47,518,226.84
  5. Step 5: Solve for x
    x = 47,518,226.84/7,772.58
  6. Step 6: Final answer
    x = 6,113.57

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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.