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Finding the Fourth Proportional to 10,398.84, 14,350.74 and 5,683.14

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Solution

The fourth proportional to 10,398.84, 14,350.74 and 5,683.14 is: 7,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.84 : 14,350.74 = 5,683.14 : x
  2. Step 2: Convert to fraction form
    10,398.84/14,350.74 = 5,683.14/x
  3. Step 3: Cross multiply
    10,398.84x = 14,350.74 × 5,683.14
  4. Step 4: Simplify right side
    10,398.84x = 81,557,264.52
  5. Step 5: Solve for x
    x = 81,557,264.52/10,398.84
  6. Step 6: Final answer
    x = 7,842.92

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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.