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Finding the Fourth Proportional to 10,504.76, 14,496.57 and 6,029.57

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Solution

The fourth proportional to 10,504.76, 14,496.57 and 6,029.57 is: 8,320.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.76 : 14,496.57 = 6,029.57 : x
  2. Step 2: Convert to fraction form
    10,504.76/14,496.57 = 6,029.57/x
  3. Step 3: Cross multiply
    10,504.76x = 14,496.57 × 6,029.57
  4. Step 4: Simplify right side
    10,504.76x = 87,408,119.82
  5. Step 5: Solve for x
    x = 87,408,119.82/10,504.76
  6. Step 6: Final answer
    x = 8,320.81

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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.