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Finding the Fourth Proportional to 7,487.96, 11,221.86 and 4,148.34

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Solution

The fourth proportional to 7,487.96, 11,221.86 and 4,148.34 is: 6,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,487.96 : 11,221.86 = 4,148.34 : x
  2. Step 2: Convert to fraction form
    7,487.96/11,221.86 = 4,148.34/x
  3. Step 3: Cross multiply
    7,487.96x = 11,221.86 × 4,148.34
  4. Step 4: Simplify right side
    7,487.96x = 46,552,090.71
  5. Step 5: Solve for x
    x = 46,552,090.71/7,487.96
  6. Step 6: Final answer
    x = 6,216.93

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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.