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Finding the Fourth Proportional to 8,222.77, 11,344.47 and 4,683.93

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Solution

The fourth proportional to 8,222.77, 11,344.47 and 4,683.93 is: 6,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.77 : 11,344.47 = 4,683.93 : x
  2. Step 2: Convert to fraction form
    8,222.77/11,344.47 = 4,683.93/x
  3. Step 3: Cross multiply
    8,222.77x = 11,344.47 × 4,683.93
  4. Step 4: Simplify right side
    8,222.77x = 53,136,733.42
  5. Step 5: Solve for x
    x = 53,136,733.42/8,222.77
  6. Step 6: Final answer
    x = 6,462.14

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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.