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Finding the Fourth Proportional to 7,652.94, 11,479.59 and 2,458.86

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Solution

The fourth proportional to 7,652.94, 11,479.59 and 2,458.86 is: 3,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.94 : 11,479.59 = 2,458.86 : x
  2. Step 2: Convert to fraction form
    7,652.94/11,479.59 = 2,458.86/x
  3. Step 3: Cross multiply
    7,652.94x = 11,479.59 × 2,458.86
  4. Step 4: Simplify right side
    7,652.94x = 28,226,704.67
  5. Step 5: Solve for x
    x = 28,226,704.67/7,652.94
  6. Step 6: Final answer
    x = 3,688.35

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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.