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Finding the Fourth Proportional to 10,228.02, 14,123.91 and 6,457.86

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Solution

The fourth proportional to 10,228.02, 14,123.91 and 6,457.86 is: 8,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.02 : 14,123.91 = 6,457.86 : x
  2. Step 2: Convert to fraction form
    10,228.02/14,123.91 = 6,457.86/x
  3. Step 3: Cross multiply
    10,228.02x = 14,123.91 × 6,457.86
  4. Step 4: Simplify right side
    10,228.02x = 91,210,233.43
  5. Step 5: Solve for x
    x = 91,210,233.43/10,228.02
  6. Step 6: Final answer
    x = 8,917.68

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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.