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Finding the Fourth Proportional to 10,508.84, 14,502.21 and 5,728.81

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Solution

The fourth proportional to 10,508.84, 14,502.21 and 5,728.81 is: 7,905.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.84 : 14,502.21 = 5,728.81 : x
  2. Step 2: Convert to fraction form
    10,508.84/14,502.21 = 5,728.81/x
  3. Step 3: Cross multiply
    10,508.84x = 14,502.21 × 5,728.81
  4. Step 4: Simplify right side
    10,508.84x = 83,080,369.41
  5. Step 5: Solve for x
    x = 83,080,369.41/10,508.84
  6. Step 6: Final answer
    x = 7,905.76

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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.