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Finding the Fourth Proportional to 10,298.84, 14,212.73 and 5,699.66

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Solution

The fourth proportional to 10,298.84, 14,212.73 and 5,699.66 is: 7,865.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.84 : 14,212.73 = 5,699.66 : x
  2. Step 2: Convert to fraction form
    10,298.84/14,212.73 = 5,699.66/x
  3. Step 3: Cross multiply
    10,298.84x = 14,212.73 × 5,699.66
  4. Step 4: Simplify right side
    10,298.84x = 81,007,735.71
  5. Step 5: Solve for x
    x = 81,007,735.71/10,298.84
  6. Step 6: Final answer
    x = 7,865.72

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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.