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Finding the Fourth Proportional to 8,307.76, 11,464.32 and 4,952.80

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Solution

The fourth proportional to 8,307.76, 11,464.32 and 4,952.80 is: 6,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.76 : 11,464.32 = 4,952.80 : x
  2. Step 2: Convert to fraction form
    8,307.76/11,464.32 = 4,952.80/x
  3. Step 3: Cross multiply
    8,307.76x = 11,464.32 × 4,952.80
  4. Step 4: Simplify right side
    8,307.76x = 56,780,484.10
  5. Step 5: Solve for x
    x = 56,780,484.10/8,307.76
  6. Step 6: Final answer
    x = 6,834.63

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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.