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Finding the Fourth Proportional to 7,873.64, 10,866.68 and 5,087.24

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Solution

The fourth proportional to 7,873.64, 10,866.68 and 5,087.24 is: 7,021.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.64 : 10,866.68 = 5,087.24 : x
  2. Step 2: Convert to fraction form
    7,873.64/10,866.68 = 5,087.24/x
  3. Step 3: Cross multiply
    7,873.64x = 10,866.68 × 5,087.24
  4. Step 4: Simplify right side
    7,873.64x = 55,281,409.16
  5. Step 5: Solve for x
    x = 55,281,409.16/7,873.64
  6. Step 6: Final answer
    x = 7,021.07

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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.