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Finding the Fourth Proportional to 10,681.95, 14,741.04 and 5,902.23

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Solution

The fourth proportional to 10,681.95, 14,741.04 and 5,902.23 is: 8,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.95 : 14,741.04 = 5,902.23 : x
  2. Step 2: Convert to fraction form
    10,681.95/14,741.04 = 5,902.23/x
  3. Step 3: Cross multiply
    10,681.95x = 14,741.04 × 5,902.23
  4. Step 4: Simplify right side
    10,681.95x = 87,005,008.52
  5. Step 5: Solve for x
    x = 87,005,008.52/10,681.95
  6. Step 6: Final answer
    x = 8,145.05

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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.