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Finding the Fourth Proportional to 7,646.93, 10,552.14 and 4,289.29

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Solution

The fourth proportional to 7,646.93, 10,552.14 and 4,289.29 is: 5,918.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.93 : 10,552.14 = 4,289.29 : x
  2. Step 2: Convert to fraction form
    7,646.93/10,552.14 = 4,289.29/x
  3. Step 3: Cross multiply
    7,646.93x = 10,552.14 × 4,289.29
  4. Step 4: Simplify right side
    7,646.93x = 45,261,188.58
  5. Step 5: Solve for x
    x = 45,261,188.58/7,646.93
  6. Step 6: Final answer
    x = 5,918.87

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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.