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Finding the Fourth Proportional to 7,645.83, 10,551.74 and 4,288.86

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Solution

The fourth proportional to 7,645.83, 10,551.74 and 4,288.86 is: 5,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.83 : 10,551.74 = 4,288.86 : x
  2. Step 2: Convert to fraction form
    7,645.83/10,551.74 = 4,288.86/x
  3. Step 3: Cross multiply
    7,645.83x = 10,551.74 × 4,288.86
  4. Step 4: Simplify right side
    7,645.83x = 45,254,935.62
  5. Step 5: Solve for x
    x = 45,254,935.62/7,645.83
  6. Step 6: Final answer
    x = 5,918.90

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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.