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Finding the Fourth Proportional to 7,720.16, 11,580.14 and 1,876.77

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Solution

The fourth proportional to 7,720.16, 11,580.14 and 1,876.77 is: 2,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.16 : 11,580.14 = 1,876.77 : x
  2. Step 2: Convert to fraction form
    7,720.16/11,580.14 = 1,876.77/x
  3. Step 3: Cross multiply
    7,720.16x = 11,580.14 × 1,876.77
  4. Step 4: Simplify right side
    7,720.16x = 21,733,249.96
  5. Step 5: Solve for x
    x = 21,733,249.96/7,720.16
  6. Step 6: Final answer
    x = 2,815.13

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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.