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Finding the Fourth Proportional to 10,705.10, 14,776.01 and 6,229.72

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Solution

The fourth proportional to 10,705.10, 14,776.01 and 6,229.72 is: 8,598.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.10 : 14,776.01 = 6,229.72 : x
  2. Step 2: Convert to fraction form
    10,705.10/14,776.01 = 6,229.72/x
  3. Step 3: Cross multiply
    10,705.10x = 14,776.01 × 6,229.72
  4. Step 4: Simplify right side
    10,705.10x = 92,050,405.02
  5. Step 5: Solve for x
    x = 92,050,405.02/10,705.10
  6. Step 6: Final answer
    x = 8,598.74

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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.