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Finding the Fourth Proportional to 8,299.95, 11,455.47 and 4,714.89

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Solution

The fourth proportional to 8,299.95, 11,455.47 and 4,714.89 is: 6,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.95 : 11,455.47 = 4,714.89 : x
  2. Step 2: Convert to fraction form
    8,299.95/11,455.47 = 4,714.89/x
  3. Step 3: Cross multiply
    8,299.95x = 11,455.47 × 4,714.89
  4. Step 4: Simplify right side
    8,299.95x = 54,011,280.95
  5. Step 5: Solve for x
    x = 54,011,280.95/8,299.95
  6. Step 6: Final answer
    x = 6,507.42

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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.