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Finding the Fourth Proportional to 7,851.03, 11,766.51 and 3,681.84

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Solution

The fourth proportional to 7,851.03, 11,766.51 and 3,681.84 is: 5,518.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.03 : 11,766.51 = 3,681.84 : x
  2. Step 2: Convert to fraction form
    7,851.03/11,766.51 = 3,681.84/x
  3. Step 3: Cross multiply
    7,851.03x = 11,766.51 × 3,681.84
  4. Step 4: Simplify right side
    7,851.03x = 43,322,407.18
  5. Step 5: Solve for x
    x = 43,322,407.18/7,851.03
  6. Step 6: Final answer
    x = 5,518.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.