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Finding the Fourth Proportional to 11,539.34, 15,922.92 and 6,502.40

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Solution

The fourth proportional to 11,539.34, 15,922.92 and 6,502.40 is: 8,972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,539.34 : 15,922.92 = 6,502.40 : x
  2. Step 2: Convert to fraction form
    11,539.34/15,922.92 = 6,502.40/x
  3. Step 3: Cross multiply
    11,539.34x = 15,922.92 × 6,502.40
  4. Step 4: Simplify right side
    11,539.34x = 103,537,195.01
  5. Step 5: Solve for x
    x = 103,537,195.01/11,539.34
  6. Step 6: Final answer
    x = 8,972.54

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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.