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Finding the Fourth Proportional to 7,656.81, 11,488.07 and 5,214.66

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Solution

The fourth proportional to 7,656.81, 11,488.07 and 5,214.66 is: 7,823.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.81 : 11,488.07 = 5,214.66 : x
  2. Step 2: Convert to fraction form
    7,656.81/11,488.07 = 5,214.66/x
  3. Step 3: Cross multiply
    7,656.81x = 11,488.07 × 5,214.66
  4. Step 4: Simplify right side
    7,656.81x = 59,906,379.11
  5. Step 5: Solve for x
    x = 59,906,379.11/7,656.81
  6. Step 6: Final answer
    x = 7,823.93

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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.