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Finding the Fourth Proportional to 7,007.86, 10,511.75 and 2,077.89

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Solution

The fourth proportional to 7,007.86, 10,511.75 and 2,077.89 is: 3,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.86 : 10,511.75 = 2,077.89 : x
  2. Step 2: Convert to fraction form
    7,007.86/10,511.75 = 2,077.89/x
  3. Step 3: Cross multiply
    7,007.86x = 10,511.75 × 2,077.89
  4. Step 4: Simplify right side
    7,007.86x = 21,842,260.21
  5. Step 5: Solve for x
    x = 21,842,260.21/7,007.86
  6. Step 6: Final answer
    x = 3,116.82

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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.