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Finding the Fourth Proportional to 10,307.94, 15,447.77 and 5,367.35

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Solution

The fourth proportional to 10,307.94, 15,447.77 and 5,367.35 is: 8,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,307.94 : 15,447.77 = 5,367.35 : x
  2. Step 2: Convert to fraction form
    10,307.94/15,447.77 = 5,367.35/x
  3. Step 3: Cross multiply
    10,307.94x = 15,447.77 × 5,367.35
  4. Step 4: Simplify right side
    10,307.94x = 82,913,484.23
  5. Step 5: Solve for x
    x = 82,913,484.23/10,307.94
  6. Step 6: Final answer
    x = 8,043.65

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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.