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Finding the Fourth Proportional to 8,985.22, 13,462.93 and 5,464.58

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Solution

The fourth proportional to 8,985.22, 13,462.93 and 5,464.58 is: 8,187.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,985.22 : 13,462.93 = 5,464.58 : x
  2. Step 2: Convert to fraction form
    8,985.22/13,462.93 = 5,464.58/x
  3. Step 3: Cross multiply
    8,985.22x = 13,462.93 × 5,464.58
  4. Step 4: Simplify right side
    8,985.22x = 73,569,271.68
  5. Step 5: Solve for x
    x = 73,569,271.68/8,985.22
  6. Step 6: Final answer
    x = 8,187.81

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Why These Related Problems?

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