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Finding the Fourth Proportional to 7,607.32, 10,494.86 and 4,772.77

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Solution

The fourth proportional to 7,607.32, 10,494.86 and 4,772.77 is: 6,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.32 : 10,494.86 = 4,772.77 : x
  2. Step 2: Convert to fraction form
    7,607.32/10,494.86 = 4,772.77/x
  3. Step 3: Cross multiply
    7,607.32x = 10,494.86 × 4,772.77
  4. Step 4: Simplify right side
    7,607.32x = 50,089,502.86
  5. Step 5: Solve for x
    x = 50,089,502.86/7,607.32
  6. Step 6: Final answer
    x = 6,584.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.