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Finding the Fourth Proportional to 7,507.64, 11,258.76 and 2,576

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Solution

The fourth proportional to 7,507.64, 11,258.76 and 2,576 is: 3,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.64 : 11,258.76 = 2,576 : x
  2. Step 2: Convert to fraction form
    7,507.64/11,258.76 = 2,576/x
  3. Step 3: Cross multiply
    7,507.64x = 11,258.76 × 2,576
  4. Step 4: Simplify right side
    7,507.64x = 29,002,565.76
  5. Step 5: Solve for x
    x = 29,002,565.76/7,507.64
  6. Step 6: Final answer
    x = 3,863.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.