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Finding the Fourth Proportional to 6,585.87, 9,886.52 and 5,200.14

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Solution

The fourth proportional to 6,585.87, 9,886.52 and 5,200.14 is: 7,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.87 : 9,886.52 = 5,200.14 : x
  2. Step 2: Convert to fraction form
    6,585.87/9,886.52 = 5,200.14/x
  3. Step 3: Cross multiply
    6,585.87x = 9,886.52 × 5,200.14
  4. Step 4: Simplify right side
    6,585.87x = 51,411,288.11
  5. Step 5: Solve for x
    x = 51,411,288.11/6,585.87
  6. Step 6: Final answer
    x = 7,806.30

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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.