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Finding the Fourth Proportional to 10,367.83, 14,307.47 and 6,118.88

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Solution

The fourth proportional to 10,367.83, 14,307.47 and 6,118.88 is: 8,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.83 : 14,307.47 = 6,118.88 : x
  2. Step 2: Convert to fraction form
    10,367.83/14,307.47 = 6,118.88/x
  3. Step 3: Cross multiply
    10,367.83x = 14,307.47 × 6,118.88
  4. Step 4: Simplify right side
    10,367.83x = 87,545,612.85
  5. Step 5: Solve for x
    x = 87,545,612.85/10,367.83
  6. Step 6: Final answer
    x = 8,443.97

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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.