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Finding the Fourth Proportional to 11,237.84, 15,506.69 and 6,457.42

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Solution

The fourth proportional to 11,237.84, 15,506.69 and 6,457.42 is: 8,910.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.84 : 15,506.69 = 6,457.42 : x
  2. Step 2: Convert to fraction form
    11,237.84/15,506.69 = 6,457.42/x
  3. Step 3: Cross multiply
    11,237.84x = 15,506.69 × 6,457.42
  4. Step 4: Simplify right side
    11,237.84x = 100,133,233.56
  5. Step 5: Solve for x
    x = 100,133,233.56/11,237.84
  6. Step 6: Final answer
    x = 8,910.36

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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.