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Finding the Fourth Proportional to 7,760.75, 11,643.95 and 4,841.51

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Solution

The fourth proportional to 7,760.75, 11,643.95 and 4,841.51 is: 7,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.75 : 11,643.95 = 4,841.51 : x
  2. Step 2: Convert to fraction form
    7,760.75/11,643.95 = 4,841.51/x
  3. Step 3: Cross multiply
    7,760.75x = 11,643.95 × 4,841.51
  4. Step 4: Simplify right side
    7,760.75x = 56,374,254.25
  5. Step 5: Solve for x
    x = 56,374,254.25/7,760.75
  6. Step 6: Final answer
    x = 7,264.03

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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.