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Finding the Fourth Proportional to 7,587.96, 11,377.02 and 5,241.40

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Solution

The fourth proportional to 7,587.96, 11,377.02 and 5,241.40 is: 7,858.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,587.96 : 11,377.02 = 5,241.40 : x
  2. Step 2: Convert to fraction form
    7,587.96/11,377.02 = 5,241.40/x
  3. Step 3: Cross multiply
    7,587.96x = 11,377.02 × 5,241.40
  4. Step 4: Simplify right side
    7,587.96x = 59,631,512.63
  5. Step 5: Solve for x
    x = 59,631,512.63/7,587.96
  6. Step 6: Final answer
    x = 7,858.70

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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.