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Finding the Fourth Proportional to 7,130.64, 10,697.94 and 2,451.24

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Solution

The fourth proportional to 7,130.64, 10,697.94 and 2,451.24 is: 3,677.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.64 : 10,697.94 = 2,451.24 : x
  2. Step 2: Convert to fraction form
    7,130.64/10,697.94 = 2,451.24/x
  3. Step 3: Cross multiply
    7,130.64x = 10,697.94 × 2,451.24
  4. Step 4: Simplify right side
    7,130.64x = 26,223,218.45
  5. Step 5: Solve for x
    x = 26,223,218.45/7,130.64
  6. Step 6: Final answer
    x = 3,677.54

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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.