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Finding the Fourth Proportional to 10,430.53, 15,643.05 and 3,858.59

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Solution

The fourth proportional to 10,430.53, 15,643.05 and 3,858.59 is: 5,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.53 : 15,643.05 = 3,858.59 : x
  2. Step 2: Convert to fraction form
    10,430.53/15,643.05 = 3,858.59/x
  3. Step 3: Cross multiply
    10,430.53x = 15,643.05 × 3,858.59
  4. Step 4: Simplify right side
    10,430.53x = 60,360,116.30
  5. Step 5: Solve for x
    x = 60,360,116.30/10,430.53
  6. Step 6: Final answer
    x = 5,786.87

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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.