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Finding the Fourth Proportional to 7,710.86, 11,568.72 and 4,590.20

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Solution

The fourth proportional to 7,710.86, 11,568.72 and 4,590.20 is: 6,886.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,710.86 : 11,568.72 = 4,590.20 : x
  2. Step 2: Convert to fraction form
    7,710.86/11,568.72 = 4,590.20/x
  3. Step 3: Cross multiply
    7,710.86x = 11,568.72 × 4,590.20
  4. Step 4: Simplify right side
    7,710.86x = 53,102,738.54
  5. Step 5: Solve for x
    x = 53,102,738.54/7,710.86
  6. Step 6: Final answer
    x = 6,886.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.