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Finding the Fourth Proportional to 8,302.95, 11,459.61 and 4,717.89

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Solution

The fourth proportional to 8,302.95, 11,459.61 and 4,717.89 is: 6,511.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.95 : 11,459.61 = 4,717.89 : x
  2. Step 2: Convert to fraction form
    8,302.95/11,459.61 = 4,717.89/x
  3. Step 3: Cross multiply
    8,302.95x = 11,459.61 × 4,717.89
  4. Step 4: Simplify right side
    8,302.95x = 54,065,179.42
  5. Step 5: Solve for x
    x = 54,065,179.42/8,302.95
  6. Step 6: Final answer
    x = 6,511.56

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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.