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Finding the Fourth Proportional to 7,768.02, 10,720.50 and 4,411.92

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Solution

The fourth proportional to 7,768.02, 10,720.50 and 4,411.92 is: 6,088.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.02 : 10,720.50 = 4,411.92 : x
  2. Step 2: Convert to fraction form
    7,768.02/10,720.50 = 4,411.92/x
  3. Step 3: Cross multiply
    7,768.02x = 10,720.50 × 4,411.92
  4. Step 4: Simplify right side
    7,768.02x = 47,297,988.36
  5. Step 5: Solve for x
    x = 47,297,988.36/7,768.02
  6. Step 6: Final answer
    x = 6,088.81

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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.