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Finding the Fourth Proportional to 10,859.76, 14,987.16 and 7,542

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Solution

The fourth proportional to 10,859.76, 14,987.16 and 7,542 is: 10,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,859.76 : 14,987.16 = 7,542 : x
  2. Step 2: Convert to fraction form
    10,859.76/14,987.16 = 7,542/x
  3. Step 3: Cross multiply
    10,859.76x = 14,987.16 × 7,542
  4. Step 4: Simplify right side
    10,859.76x = 113,033,160.72
  5. Step 5: Solve for x
    x = 113,033,160.72/10,859.76
  6. Step 6: Final answer
    x = 10,408.44

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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.