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Finding the Fourth Proportional to 10,311.56, 14,215.01 and 7,618.81

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Solution

The fourth proportional to 10,311.56, 14,215.01 and 7,618.81 is: 10,502.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.56 : 14,215.01 = 7,618.81 : x
  2. Step 2: Convert to fraction form
    10,311.56/14,215.01 = 7,618.81/x
  3. Step 3: Cross multiply
    10,311.56x = 14,215.01 × 7,618.81
  4. Step 4: Simplify right side
    10,311.56x = 108,301,460.34
  5. Step 5: Solve for x
    x = 108,301,460.34/10,311.56
  6. Step 6: Final answer
    x = 10,502.92

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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.