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Finding the Fourth Proportional to 10,090.53, 13,926.72 and 5,840.88

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Solution

The fourth proportional to 10,090.53, 13,926.72 and 5,840.88 is: 8,061.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.53 : 13,926.72 = 5,840.88 : x
  2. Step 2: Convert to fraction form
    10,090.53/13,926.72 = 5,840.88/x
  3. Step 3: Cross multiply
    10,090.53x = 13,926.72 × 5,840.88
  4. Step 4: Simplify right side
    10,090.53x = 81,344,300.31
  5. Step 5: Solve for x
    x = 81,344,300.31/10,090.53
  6. Step 6: Final answer
    x = 8,061.45

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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.