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Finding the Fourth Proportional to 10,496.48, 14,483.94 and 6,019

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Solution

The fourth proportional to 10,496.48, 14,483.94 and 6,019 is: 8,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.48 : 14,483.94 = 6,019 : x
  2. Step 2: Convert to fraction form
    10,496.48/14,483.94 = 6,019/x
  3. Step 3: Cross multiply
    10,496.48x = 14,483.94 × 6,019
  4. Step 4: Simplify right side
    10,496.48x = 87,178,834.86
  5. Step 5: Solve for x
    x = 87,178,834.86/10,496.48
  6. Step 6: Final answer
    x = 8,305.53

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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.