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Finding the Fourth Proportional to 8,307.14, 11,463.77 and 4,771.46

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Solution

The fourth proportional to 8,307.14, 11,463.77 and 4,771.46 is: 6,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.14 : 11,463.77 = 4,771.46 : x
  2. Step 2: Convert to fraction form
    8,307.14/11,463.77 = 4,771.46/x
  3. Step 3: Cross multiply
    8,307.14x = 11,463.77 × 4,771.46
  4. Step 4: Simplify right side
    8,307.14x = 54,698,920.00
  5. Step 5: Solve for x
    x = 54,698,920.00/8,307.14
  6. Step 6: Final answer
    x = 6,584.57

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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.