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Finding the Fourth Proportional to 10,457.99, 15,685.59 and 3,883.28

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Solution

The fourth proportional to 10,457.99, 15,685.59 and 3,883.28 is: 5,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.99 : 15,685.59 = 3,883.28 : x
  2. Step 2: Convert to fraction form
    10,457.99/15,685.59 = 3,883.28/x
  3. Step 3: Cross multiply
    10,457.99x = 15,685.59 × 3,883.28
  4. Step 4: Simplify right side
    10,457.99x = 60,911,537.94
  5. Step 5: Solve for x
    x = 60,911,537.94/10,457.99
  6. Step 6: Final answer
    x = 5,824.40

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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.