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Finding the Fourth Proportional to 7,157.82, 9,877.56 and 4,014.20

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Solution

The fourth proportional to 7,157.82, 9,877.56 and 4,014.20 is: 5,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.82 : 9,877.56 = 4,014.20 : x
  2. Step 2: Convert to fraction form
    7,157.82/9,877.56 = 4,014.20/x
  3. Step 3: Cross multiply
    7,157.82x = 9,877.56 × 4,014.20
  4. Step 4: Simplify right side
    7,157.82x = 39,650,501.35
  5. Step 5: Solve for x
    x = 39,650,501.35/7,157.82
  6. Step 6: Final answer
    x = 5,539.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.