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Finding the Fourth Proportional to 10,746.46, 14,830.05 and 6,269.86

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Solution

The fourth proportional to 10,746.46, 14,830.05 and 6,269.86 is: 8,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.46 : 14,830.05 = 6,269.86 : x
  2. Step 2: Convert to fraction form
    10,746.46/14,830.05 = 6,269.86/x
  3. Step 3: Cross multiply
    10,746.46x = 14,830.05 × 6,269.86
  4. Step 4: Simplify right side
    10,746.46x = 92,982,337.29
  5. Step 5: Solve for x
    x = 92,982,337.29/10,746.46
  6. Step 6: Final answer
    x = 8,652.37

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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.