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Finding the Fourth Proportional to 7,720.31, 10,648.40 and 4,888.14

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Solution

The fourth proportional to 7,720.31, 10,648.40 and 4,888.14 is: 6,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.31 : 10,648.40 = 4,888.14 : x
  2. Step 2: Convert to fraction form
    7,720.31/10,648.40 = 4,888.14/x
  3. Step 3: Cross multiply
    7,720.31x = 10,648.40 × 4,888.14
  4. Step 4: Simplify right side
    7,720.31x = 52,050,845.54
  5. Step 5: Solve for x
    x = 52,050,845.54/7,720.31
  6. Step 6: Final answer
    x = 6,742.07

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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.