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Finding the Fourth Proportional to 7,652.64, 10,559.94 and 4,296

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Solution

The fourth proportional to 7,652.64, 10,559.94 and 4,296 is: 5,928.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.64 : 10,559.94 = 4,296 : x
  2. Step 2: Convert to fraction form
    7,652.64/10,559.94 = 4,296/x
  3. Step 3: Cross multiply
    7,652.64x = 10,559.94 × 4,296
  4. Step 4: Simplify right side
    7,652.64x = 45,365,502.24
  5. Step 5: Solve for x
    x = 45,365,502.24/7,652.64
  6. Step 6: Final answer
    x = 5,928.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.