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Finding the Fourth Proportional to 7,585.41, 10,462.44 and 6,169.14

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Solution

The fourth proportional to 7,585.41, 10,462.44 and 6,169.14 is: 8,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.41 : 10,462.44 = 6,169.14 : x
  2. Step 2: Convert to fraction form
    7,585.41/10,462.44 = 6,169.14/x
  3. Step 3: Cross multiply
    7,585.41x = 10,462.44 × 6,169.14
  4. Step 4: Simplify right side
    7,585.41x = 64,544,257.10
  5. Step 5: Solve for x
    x = 64,544,257.10/7,585.41
  6. Step 6: Final answer
    x = 8,509.00

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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.