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Finding the Fourth Proportional to 7,756.24, 10,700.15 and 5,237.54

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Solution

The fourth proportional to 7,756.24, 10,700.15 and 5,237.54 is: 7,225.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.24 : 10,700.15 = 5,237.54 : x
  2. Step 2: Convert to fraction form
    7,756.24/10,700.15 = 5,237.54/x
  3. Step 3: Cross multiply
    7,756.24x = 10,700.15 × 5,237.54
  4. Step 4: Simplify right side
    7,756.24x = 56,042,464.19
  5. Step 5: Solve for x
    x = 56,042,464.19/7,756.24
  6. Step 6: Final answer
    x = 7,225.47

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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.