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Finding the Fourth Proportional to 8,053.76, 12,078.04 and 7,529

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Solution

The fourth proportional to 8,053.76, 12,078.04 and 7,529 is: 11,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,053.76 : 12,078.04 = 7,529 : x
  2. Step 2: Convert to fraction form
    8,053.76/12,078.04 = 7,529/x
  3. Step 3: Cross multiply
    8,053.76x = 12,078.04 × 7,529
  4. Step 4: Simplify right side
    8,053.76x = 90,935,563.16
  5. Step 5: Solve for x
    x = 90,935,563.16/8,053.76
  6. Step 6: Final answer
    x = 11,291.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.