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Finding the Fourth Proportional to 11,411.10, 15,746.43 and 6,306.41

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Solution

The fourth proportional to 11,411.10, 15,746.43 and 6,306.41 is: 8,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.10 : 15,746.43 = 6,306.41 : x
  2. Step 2: Convert to fraction form
    11,411.10/15,746.43 = 6,306.41/x
  3. Step 3: Cross multiply
    11,411.10x = 15,746.43 × 6,306.41
  4. Step 4: Simplify right side
    11,411.10x = 99,303,443.62
  5. Step 5: Solve for x
    x = 99,303,443.62/11,411.10
  6. Step 6: Final answer
    x = 8,702.36

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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.