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Finding the Fourth Proportional to 7,707.12, 11,560.53 and 1,863.66

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Solution

The fourth proportional to 7,707.12, 11,560.53 and 1,863.66 is: 2,795.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.12 : 11,560.53 = 1,863.66 : x
  2. Step 2: Convert to fraction form
    7,707.12/11,560.53 = 1,863.66/x
  3. Step 3: Cross multiply
    7,707.12x = 11,560.53 × 1,863.66
  4. Step 4: Simplify right side
    7,707.12x = 21,544,897.34
  5. Step 5: Solve for x
    x = 21,544,897.34/7,707.12
  6. Step 6: Final answer
    x = 2,795.45

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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.