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Finding the Fourth Proportional to 10,343.44, 14,277.17 and 5,870.17

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Solution

The fourth proportional to 10,343.44, 14,277.17 and 5,870.17 is: 8,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.44 : 14,277.17 = 5,870.17 : x
  2. Step 2: Convert to fraction form
    10,343.44/14,277.17 = 5,870.17/x
  3. Step 3: Cross multiply
    10,343.44x = 14,277.17 × 5,870.17
  4. Step 4: Simplify right side
    10,343.44x = 83,809,415.02
  5. Step 5: Solve for x
    x = 83,809,415.02/10,343.44
  6. Step 6: Final answer
    x = 8,102.66

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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.