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Finding the Fourth Proportional to 8,307.12, 11,463.44 and 4,767.84

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Solution

The fourth proportional to 8,307.12, 11,463.44 and 4,767.84 is: 6,579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.12 : 11,463.44 = 4,767.84 : x
  2. Step 2: Convert to fraction form
    8,307.12/11,463.44 = 4,767.84/x
  3. Step 3: Cross multiply
    8,307.12x = 11,463.44 × 4,767.84
  4. Step 4: Simplify right side
    8,307.12x = 54,655,847.77
  5. Step 5: Solve for x
    x = 54,655,847.77/8,307.12
  6. Step 6: Final answer
    x = 6,579.40

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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.