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Finding the Fourth Proportional to 7,501.64, 11,252.52 and 3,119

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Solution

The fourth proportional to 7,501.64, 11,252.52 and 3,119 is: 4,678.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501.64 : 11,252.52 = 3,119 : x
  2. Step 2: Convert to fraction form
    7,501.64/11,252.52 = 3,119/x
  3. Step 3: Cross multiply
    7,501.64x = 11,252.52 × 3,119
  4. Step 4: Simplify right side
    7,501.64x = 35,096,609.88
  5. Step 5: Solve for x
    x = 35,096,609.88/7,501.64
  6. Step 6: Final answer
    x = 4,678.52

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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.