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Finding the Fourth Proportional to 11,210.76, 16,823.96 and 4,637

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Solution

The fourth proportional to 11,210.76, 16,823.96 and 4,637 is: 6,958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210.76 : 16,823.96 = 4,637 : x
  2. Step 2: Convert to fraction form
    11,210.76/16,823.96 = 4,637/x
  3. Step 3: Cross multiply
    11,210.76x = 16,823.96 × 4,637
  4. Step 4: Simplify right side
    11,210.76x = 78,012,702.52
  5. Step 5: Solve for x
    x = 78,012,702.52/11,210.76
  6. Step 6: Final answer
    x = 6,958.73

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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.