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Finding the Fourth Proportional to 7,695.86, 10,620.16 and 4,338.68

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Solution

The fourth proportional to 7,695.86, 10,620.16 and 4,338.68 is: 5,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.86 : 10,620.16 = 4,338.68 : x
  2. Step 2: Convert to fraction form
    7,695.86/10,620.16 = 4,338.68/x
  3. Step 3: Cross multiply
    7,695.86x = 10,620.16 × 4,338.68
  4. Step 4: Simplify right side
    7,695.86x = 46,077,411.84
  5. Step 5: Solve for x
    x = 46,077,411.84/7,695.86
  6. Step 6: Final answer
    x = 5,987.30

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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.