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Finding the Fourth Proportional to 10,488.36, 14,464.26 and 6,899.88

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Solution

The fourth proportional to 10,488.36, 14,464.26 and 6,899.88 is: 9,515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.36 : 14,464.26 = 6,899.88 : x
  2. Step 2: Convert to fraction form
    10,488.36/14,464.26 = 6,899.88/x
  3. Step 3: Cross multiply
    10,488.36x = 14,464.26 × 6,899.88
  4. Step 4: Simplify right side
    10,488.36x = 99,801,658.29
  5. Step 5: Solve for x
    x = 99,801,658.29/10,488.36
  6. Step 6: Final answer
    x = 9,515.47

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