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Finding the Fourth Proportional to 7,756.74, 10,700.84 and 5,238.04

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Solution

The fourth proportional to 7,756.74, 10,700.84 and 5,238.04 is: 7,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.74 : 10,700.84 = 5,238.04 : x
  2. Step 2: Convert to fraction form
    7,756.74/10,700.84 = 5,238.04/x
  3. Step 3: Cross multiply
    7,756.74x = 10,700.84 × 5,238.04
  4. Step 4: Simplify right side
    7,756.74x = 56,051,427.95
  5. Step 5: Solve for x
    x = 56,051,427.95/7,756.74
  6. Step 6: Final answer
    x = 7,226.16

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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.