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Finding the Fourth Proportional to 7,624.32, 11,437.12 and 3,242.88

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Solution

The fourth proportional to 7,624.32, 11,437.12 and 3,242.88 is: 4,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.32 : 11,437.12 = 3,242.88 : x
  2. Step 2: Convert to fraction form
    7,624.32/11,437.12 = 3,242.88/x
  3. Step 3: Cross multiply
    7,624.32x = 11,437.12 × 3,242.88
  4. Step 4: Simplify right side
    7,624.32x = 37,089,207.71
  5. Step 5: Solve for x
    x = 37,089,207.71/7,624.32
  6. Step 6: Final answer
    x = 4,864.59

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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.