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Finding the Fourth Proportional to 7,507.32, 11,262.48 and 2,313

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Solution

The fourth proportional to 7,507.32, 11,262.48 and 2,313 is: 3,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,507.32 : 11,262.48 = 2,313 : x
  2. Step 2: Convert to fraction form
    7,507.32/11,262.48 = 2,313/x
  3. Step 3: Cross multiply
    7,507.32x = 11,262.48 × 2,313
  4. Step 4: Simplify right side
    7,507.32x = 26,050,116.24
  5. Step 5: Solve for x
    x = 26,050,116.24/7,507.32
  6. Step 6: Final answer
    x = 3,469.96

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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.