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Finding the Fourth Proportional to 8,134.67, 11,235.07 and 5,477.46

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Solution

The fourth proportional to 8,134.67, 11,235.07 and 5,477.46 is: 7,565.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.67 : 11,235.07 = 5,477.46 : x
  2. Step 2: Convert to fraction form
    8,134.67/11,235.07 = 5,477.46/x
  3. Step 3: Cross multiply
    8,134.67x = 11,235.07 × 5,477.46
  4. Step 4: Simplify right side
    8,134.67x = 61,539,632.83
  5. Step 5: Solve for x
    x = 61,539,632.83/8,134.67
  6. Step 6: Final answer
    x = 7,565.11

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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.