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Finding the Fourth Proportional to 10,305.16, 15,457.86 and 2,909.80

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Solution

The fourth proportional to 10,305.16, 15,457.86 and 2,909.80 is: 4,364.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.16 : 15,457.86 = 2,909.80 : x
  2. Step 2: Convert to fraction form
    10,305.16/15,457.86 = 2,909.80/x
  3. Step 3: Cross multiply
    10,305.16x = 15,457.86 × 2,909.80
  4. Step 4: Simplify right side
    10,305.16x = 44,979,281.03
  5. Step 5: Solve for x
    x = 44,979,281.03/10,305.16
  6. Step 6: Final answer
    x = 4,364.73

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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.