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Finding the Fourth Proportional to 7,646.96, 10,552.44 and 4,289.36

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Solution

The fourth proportional to 7,646.96, 10,552.44 and 4,289.36 is: 5,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.96 : 10,552.44 = 4,289.36 : x
  2. Step 2: Convert to fraction form
    7,646.96/10,552.44 = 4,289.36/x
  3. Step 3: Cross multiply
    7,646.96x = 10,552.44 × 4,289.36
  4. Step 4: Simplify right side
    7,646.96x = 45,263,214.04
  5. Step 5: Solve for x
    x = 45,263,214.04/7,646.96
  6. Step 6: Final answer
    x = 5,919.11

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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.