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Finding the Fourth Proportional to 10,406.95, 14,344.09 and 7,888.25

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Solution

The fourth proportional to 10,406.95, 14,344.09 and 7,888.25 is: 10,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.95 : 14,344.09 = 7,888.25 : x
  2. Step 2: Convert to fraction form
    10,406.95/14,344.09 = 7,888.25/x
  3. Step 3: Cross multiply
    10,406.95x = 14,344.09 × 7,888.25
  4. Step 4: Simplify right side
    10,406.95x = 113,149,784.08
  5. Step 5: Solve for x
    x = 113,149,784.08/10,406.95
  6. Step 6: Final answer
    x = 10,872.52

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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.