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Finding the Fourth Proportional to 10,054.42, 13,872.68 and 6,421.98

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Solution

The fourth proportional to 10,054.42, 13,872.68 and 6,421.98 is: 8,860.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.42 : 13,872.68 = 6,421.98 : x
  2. Step 2: Convert to fraction form
    10,054.42/13,872.68 = 6,421.98/x
  3. Step 3: Cross multiply
    10,054.42x = 13,872.68 × 6,421.98
  4. Step 4: Simplify right side
    10,054.42x = 89,090,073.51
  5. Step 5: Solve for x
    x = 89,090,073.51/10,054.42
  6. Step 6: Final answer
    x = 8,860.79

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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.