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Finding the Fourth Proportional to 10,059, 13,880.82 and 5,582.42

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Solution

The fourth proportional to 10,059, 13,880.82 and 5,582.42 is: 7,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059 : 13,880.82 = 5,582.42 : x
  2. Step 2: Convert to fraction form
    10,059/13,880.82 = 5,582.42/x
  3. Step 3: Cross multiply
    10,059x = 13,880.82 × 5,582.42
  4. Step 4: Simplify right side
    10,059x = 77,488,567.18
  5. Step 5: Solve for x
    x = 77,488,567.18/10,059
  6. Step 6: Final answer
    x = 7,703.41

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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.