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Finding the Fourth Proportional to 10,064.25, 13,886.71 and 5,756.74

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Solution

The fourth proportional to 10,064.25, 13,886.71 and 5,756.74 is: 7,943.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,064.25 : 13,886.71 = 5,756.74 : x
  2. Step 2: Convert to fraction form
    10,064.25/13,886.71 = 5,756.74/x
  3. Step 3: Cross multiply
    10,064.25x = 13,886.71 × 5,756.74
  4. Step 4: Simplify right side
    10,064.25x = 79,942,129.82
  5. Step 5: Solve for x
    x = 79,942,129.82/10,064.25
  6. Step 6: Final answer
    x = 7,943.18

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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.