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Finding the Fourth Proportional to 7,646.22, 10,551.12 and 4,288.50

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Solution

The fourth proportional to 7,646.22, 10,551.12 and 4,288.50 is: 5,917.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.22 : 10,551.12 = 4,288.50 : x
  2. Step 2: Convert to fraction form
    7,646.22/10,551.12 = 4,288.50/x
  3. Step 3: Cross multiply
    7,646.22x = 10,551.12 × 4,288.50
  4. Step 4: Simplify right side
    7,646.22x = 45,248,478.12
  5. Step 5: Solve for x
    x = 45,248,478.12/7,646.22
  6. Step 6: Final answer
    x = 5,917.76

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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.