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Finding the Fourth Proportional to 7,720.14, 11,580.21 and 1,876.74

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Solution

The fourth proportional to 7,720.14, 11,580.21 and 1,876.74 is: 2,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.14 : 11,580.21 = 1,876.74 : x
  2. Step 2: Convert to fraction form
    7,720.14/11,580.21 = 1,876.74/x
  3. Step 3: Cross multiply
    7,720.14x = 11,580.21 × 1,876.74
  4. Step 4: Simplify right side
    7,720.14x = 21,733,043.32
  5. Step 5: Solve for x
    x = 21,733,043.32/7,720.14
  6. Step 6: Final answer
    x = 2,815.11

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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.