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Finding the Fourth Proportional to 8,698.13, 13,036.49 and 4,011.63

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Solution

The fourth proportional to 8,698.13, 13,036.49 and 4,011.63 is: 6,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.13 : 13,036.49 = 4,011.63 : x
  2. Step 2: Convert to fraction form
    8,698.13/13,036.49 = 4,011.63/x
  3. Step 3: Cross multiply
    8,698.13x = 13,036.49 × 4,011.63
  4. Step 4: Simplify right side
    8,698.13x = 52,297,554.32
  5. Step 5: Solve for x
    x = 52,297,554.32/8,698.13
  6. Step 6: Final answer
    x = 6,012.51

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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.