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Finding the Fourth Proportional to 11,457.18, 15,813.36 and 7,471.17

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Solution

The fourth proportional to 11,457.18, 15,813.36 and 7,471.17 is: 10,311.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.18 : 15,813.36 = 7,471.17 : x
  2. Step 2: Convert to fraction form
    11,457.18/15,813.36 = 7,471.17/x
  3. Step 3: Cross multiply
    11,457.18x = 15,813.36 × 7,471.17
  4. Step 4: Simplify right side
    11,457.18x = 118,144,300.83
  5. Step 5: Solve for x
    x = 118,144,300.83/11,457.18
  6. Step 6: Final answer
    x = 10,311.81

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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.