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Finding the Fourth Proportional to 10,158.50, 14,019.39 and 5,683.02

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Solution

The fourth proportional to 10,158.50, 14,019.39 and 5,683.02 is: 7,842.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158.50 : 14,019.39 = 5,683.02 : x
  2. Step 2: Convert to fraction form
    10,158.50/14,019.39 = 5,683.02/x
  3. Step 3: Cross multiply
    10,158.50x = 14,019.39 × 5,683.02
  4. Step 4: Simplify right side
    10,158.50x = 79,672,473.76
  5. Step 5: Solve for x
    x = 79,672,473.76/10,158.50
  6. Step 6: Final answer
    x = 7,842.94

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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.