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Finding the Fourth Proportional to 10,537.70, 14,542.44 and 6,061.44

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Solution

The fourth proportional to 10,537.70, 14,542.44 and 6,061.44 is: 8,365.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.70 : 14,542.44 = 6,061.44 : x
  2. Step 2: Convert to fraction form
    10,537.70/14,542.44 = 6,061.44/x
  3. Step 3: Cross multiply
    10,537.70x = 14,542.44 × 6,061.44
  4. Step 4: Simplify right side
    10,537.70x = 88,148,127.51
  5. Step 5: Solve for x
    x = 88,148,127.51/10,537.70
  6. Step 6: Final answer
    x = 8,365.03

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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.