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Finding the Fourth Proportional to 7,646.45, 10,552.43 and 4,289.18

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Solution

The fourth proportional to 7,646.45, 10,552.43 and 4,289.18 is: 5,919.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.45 : 10,552.43 = 4,289.18 : x
  2. Step 2: Convert to fraction form
    7,646.45/10,552.43 = 4,289.18/x
  3. Step 3: Cross multiply
    7,646.45x = 10,552.43 × 4,289.18
  4. Step 4: Simplify right side
    7,646.45x = 45,261,235.22
  5. Step 5: Solve for x
    x = 45,261,235.22/7,646.45
  6. Step 6: Final answer
    x = 5,919.25

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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.