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Finding the Fourth Proportional to 10,381.96, 14,328.72 and 6,133.48

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Solution

The fourth proportional to 10,381.96, 14,328.72 and 6,133.48 is: 8,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.96 : 14,328.72 = 6,133.48 : x
  2. Step 2: Convert to fraction form
    10,381.96/14,328.72 = 6,133.48/x
  3. Step 3: Cross multiply
    10,381.96x = 14,328.72 × 6,133.48
  4. Step 4: Simplify right side
    10,381.96x = 87,884,917.55
  5. Step 5: Solve for x
    x = 87,884,917.55/10,381.96
  6. Step 6: Final answer
    x = 8,465.16

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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.