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Finding the Fourth Proportional to 10,457.45, 15,685.03 and 3,061.98

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Solution

The fourth proportional to 10,457.45, 15,685.03 and 3,061.98 is: 4,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.45 : 15,685.03 = 3,061.98 : x
  2. Step 2: Convert to fraction form
    10,457.45/15,685.03 = 3,061.98/x
  3. Step 3: Cross multiply
    10,457.45x = 15,685.03 × 3,061.98
  4. Step 4: Simplify right side
    10,457.45x = 48,027,269.91
  5. Step 5: Solve for x
    x = 48,027,269.91/10,457.45
  6. Step 6: Final answer
    x = 4,592.64

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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.