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Finding the Fourth Proportional to 10,366.05, 14,307 and 6,116.85

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Solution

The fourth proportional to 10,366.05, 14,307 and 6,116.85 is: 8,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.05 : 14,307 = 6,116.85 : x
  2. Step 2: Convert to fraction form
    10,366.05/14,307 = 6,116.85/x
  3. Step 3: Cross multiply
    10,366.05x = 14,307 × 6,116.85
  4. Step 4: Simplify right side
    10,366.05x = 87,513,772.95
  5. Step 5: Solve for x
    x = 87,513,772.95/10,366.05
  6. Step 6: Final answer
    x = 8,442.35

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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.