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Finding the Fourth Proportional to 10,285.49, 14,194.04 and 5,569.77

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Solution

The fourth proportional to 10,285.49, 14,194.04 and 5,569.77 is: 7,686.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,285.49 : 14,194.04 = 5,569.77 : x
  2. Step 2: Convert to fraction form
    10,285.49/14,194.04 = 5,569.77/x
  3. Step 3: Cross multiply
    10,285.49x = 14,194.04 × 5,569.77
  4. Step 4: Simplify right side
    10,285.49x = 79,057,538.17
  5. Step 5: Solve for x
    x = 79,057,538.17/10,285.49
  6. Step 6: Final answer
    x = 7,686.32

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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.