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Finding the Fourth Proportional to 11,237.23, 15,506.93 and 6,457.42

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Solution

The fourth proportional to 11,237.23, 15,506.93 and 6,457.42 is: 8,910.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,237.23 : 15,506.93 = 6,457.42 : x
  2. Step 2: Convert to fraction form
    11,237.23/15,506.93 = 6,457.42/x
  3. Step 3: Cross multiply
    11,237.23x = 15,506.93 × 6,457.42
  4. Step 4: Simplify right side
    11,237.23x = 100,134,650.10
  5. Step 5: Solve for x
    x = 100,134,650.10/11,237.23
  6. Step 6: Final answer
    x = 8,910.98

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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.