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Finding the Fourth Proportional to 7,697.52, 10,620 and 4,339.80

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Solution

The fourth proportional to 7,697.52, 10,620 and 4,339.80 is: 5,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,697.52 : 10,620 = 4,339.80 : x
  2. Step 2: Convert to fraction form
    7,697.52/10,620 = 4,339.80/x
  3. Step 3: Cross multiply
    7,697.52x = 10,620 × 4,339.80
  4. Step 4: Simplify right side
    7,697.52x = 46,088,676
  5. Step 5: Solve for x
    x = 46,088,676/7,697.52
  6. Step 6: Final answer
    x = 5,987.47

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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.