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Finding the Fourth Proportional to 7,646.12, 10,551.66 and 4,288.94

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Solution

The fourth proportional to 7,646.12, 10,551.66 and 4,288.94 is: 5,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.12 : 10,551.66 = 4,288.94 : x
  2. Step 2: Convert to fraction form
    7,646.12/10,551.66 = 4,288.94/x
  3. Step 3: Cross multiply
    7,646.12x = 10,551.66 × 4,288.94
  4. Step 4: Simplify right side
    7,646.12x = 45,255,436.64
  5. Step 5: Solve for x
    x = 45,255,436.64/7,646.12
  6. Step 6: Final answer
    x = 5,918.75

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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.