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Finding the Fourth Proportional to 10,499.55, 14,489.64 and 6,464.85

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Solution

The fourth proportional to 10,499.55, 14,489.64 and 6,464.85 is: 8,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,499.55 : 14,489.64 = 6,464.85 : x
  2. Step 2: Convert to fraction form
    10,499.55/14,489.64 = 6,464.85/x
  3. Step 3: Cross multiply
    10,499.55x = 14,489.64 × 6,464.85
  4. Step 4: Simplify right side
    10,499.55x = 93,673,349.15
  5. Step 5: Solve for x
    x = 93,673,349.15/10,499.55
  6. Step 6: Final answer
    x = 8,921.65

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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.