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Finding the Fourth Proportional to 7,870.77, 10,866.89 and 4,891.05

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Solution

The fourth proportional to 7,870.77, 10,866.89 and 4,891.05 is: 6,752.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.77 : 10,866.89 = 4,891.05 : x
  2. Step 2: Convert to fraction form
    7,870.77/10,866.89 = 4,891.05/x
  3. Step 3: Cross multiply
    7,870.77x = 10,866.89 × 4,891.05
  4. Step 4: Simplify right side
    7,870.77x = 53,150,477.88
  5. Step 5: Solve for x
    x = 53,150,477.88/7,870.77
  6. Step 6: Final answer
    x = 6,752.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.