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Finding the Fourth Proportional to 8,646.87, 11,933.58 and 5,291.91

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Solution

The fourth proportional to 8,646.87, 11,933.58 and 5,291.91 is: 7,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.87 : 11,933.58 = 5,291.91 : x
  2. Step 2: Convert to fraction form
    8,646.87/11,933.58 = 5,291.91/x
  3. Step 3: Cross multiply
    8,646.87x = 11,933.58 × 5,291.91
  4. Step 4: Simplify right side
    8,646.87x = 63,151,431.34
  5. Step 5: Solve for x
    x = 63,151,431.34/8,646.87
  6. Step 6: Final answer
    x = 7,303.39

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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.