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Finding the Fourth Proportional to 8,307.27, 12,458.46 and 3,111.93

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Solution

The fourth proportional to 8,307.27, 12,458.46 and 3,111.93 is: 4,666.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.27 : 12,458.46 = 3,111.93 : x
  2. Step 2: Convert to fraction form
    8,307.27/12,458.46 = 3,111.93/x
  3. Step 3: Cross multiply
    8,307.27x = 12,458.46 × 3,111.93
  4. Step 4: Simplify right side
    8,307.27x = 38,769,855.43
  5. Step 5: Solve for x
    x = 38,769,855.43/8,307.27
  6. Step 6: Final answer
    x = 4,666.98

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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.