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Finding the Fourth Proportional to 10,469.66, 14,433.19 and 7,484.40

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Solution

The fourth proportional to 10,469.66, 14,433.19 and 7,484.40 is: 10,317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.66 : 14,433.19 = 7,484.40 : x
  2. Step 2: Convert to fraction form
    10,469.66/14,433.19 = 7,484.40/x
  3. Step 3: Cross multiply
    10,469.66x = 14,433.19 × 7,484.40
  4. Step 4: Simplify right side
    10,469.66x = 108,023,748.53
  5. Step 5: Solve for x
    x = 108,023,748.53/10,469.66
  6. Step 6: Final answer
    x = 10,317.79

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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.