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Finding the Fourth Proportional to 11,151.94, 15,389.70 and 6,306.40

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Solution

The fourth proportional to 11,151.94, 15,389.70 and 6,306.40 is: 8,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.94 : 15,389.70 = 6,306.40 : x
  2. Step 2: Convert to fraction form
    11,151.94/15,389.70 = 6,306.40/x
  3. Step 3: Cross multiply
    11,151.94x = 15,389.70 × 6,306.40
  4. Step 4: Simplify right side
    11,151.94x = 97,053,604.08
  5. Step 5: Solve for x
    x = 97,053,604.08/11,151.94
  6. Step 6: Final answer
    x = 8,702.84

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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.