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Finding the Fourth Proportional to 10,537.72, 14,528.58 and 8,642.44

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Solution

The fourth proportional to 10,537.72, 14,528.58 and 8,642.44 is: 11,915.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.72 : 14,528.58 = 8,642.44 : x
  2. Step 2: Convert to fraction form
    10,537.72/14,528.58 = 8,642.44/x
  3. Step 3: Cross multiply
    10,537.72x = 14,528.58 × 8,642.44
  4. Step 4: Simplify right side
    10,537.72x = 125,562,380.94
  5. Step 5: Solve for x
    x = 125,562,380.94/10,537.72
  6. Step 6: Final answer
    x = 11,915.52

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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.