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Finding the Fourth Proportional to 10,292.84, 14,204.10 and 5,577.12

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Solution

The fourth proportional to 10,292.84, 14,204.10 and 5,577.12 is: 7,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.84 : 14,204.10 = 5,577.12 : x
  2. Step 2: Convert to fraction form
    10,292.84/14,204.10 = 5,577.12/x
  3. Step 3: Cross multiply
    10,292.84x = 14,204.10 × 5,577.12
  4. Step 4: Simplify right side
    10,292.84x = 79,217,970.19
  5. Step 5: Solve for x
    x = 79,217,970.19/10,292.84
  6. Step 6: Final answer
    x = 7,696.42

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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.