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Finding the Fourth Proportional to 7,587.81, 11,395.89 and 6,204.06

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Solution

The fourth proportional to 7,587.81, 11,395.89 and 6,204.06 is: 9,317.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.81 : 11,395.89 = 6,204.06 : x
  2. Step 2: Convert to fraction form
    7,587.81/11,395.89 = 6,204.06/x
  3. Step 3: Cross multiply
    7,587.81x = 11,395.89 × 6,204.06
  4. Step 4: Simplify right side
    7,587.81x = 70,700,785.31
  5. Step 5: Solve for x
    x = 70,700,785.31/7,587.81
  6. Step 6: Final answer
    x = 9,317.68

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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.