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Finding the Fourth Proportional to 10,381.32, 14,326.53 and 5,904.25

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Solution

The fourth proportional to 10,381.32, 14,326.53 and 5,904.25 is: 8,148.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.32 : 14,326.53 = 5,904.25 : x
  2. Step 2: Convert to fraction form
    10,381.32/14,326.53 = 5,904.25/x
  3. Step 3: Cross multiply
    10,381.32x = 14,326.53 × 5,904.25
  4. Step 4: Simplify right side
    10,381.32x = 84,587,343.12
  5. Step 5: Solve for x
    x = 84,587,343.12/10,381.32
  6. Step 6: Final answer
    x = 8,148.04

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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.