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Finding the Fourth Proportional to 10,418.51, 14,376.99 and 5,701.88

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Solution

The fourth proportional to 10,418.51, 14,376.99 and 5,701.88 is: 7,868.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.51 : 14,376.99 = 5,701.88 : x
  2. Step 2: Convert to fraction form
    10,418.51/14,376.99 = 5,701.88/x
  3. Step 3: Cross multiply
    10,418.51x = 14,376.99 × 5,701.88
  4. Step 4: Simplify right side
    10,418.51x = 81,975,871.74
  5. Step 5: Solve for x
    x = 81,975,871.74/10,418.51
  6. Step 6: Final answer
    x = 7,868.29

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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.