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Finding the Fourth Proportional to 10,008.84, 13,817.66 and 6,030.92

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Solution

The fourth proportional to 10,008.84, 13,817.66 and 6,030.92 is: 8,325.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,008.84 : 13,817.66 = 6,030.92 : x
  2. Step 2: Convert to fraction form
    10,008.84/13,817.66 = 6,030.92/x
  3. Step 3: Cross multiply
    10,008.84x = 13,817.66 × 6,030.92
  4. Step 4: Simplify right side
    10,008.84x = 83,333,202.05
  5. Step 5: Solve for x
    x = 83,333,202.05/10,008.84
  6. Step 6: Final answer
    x = 8,325.96

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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.