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Finding the Fourth Proportional to 10,058.94, 13,880.99 and 5,582.57

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Solution

The fourth proportional to 10,058.94, 13,880.99 and 5,582.57 is: 7,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.94 : 13,880.99 = 5,582.57 : x
  2. Step 2: Convert to fraction form
    10,058.94/13,880.99 = 5,582.57/x
  3. Step 3: Cross multiply
    10,058.94x = 13,880.99 × 5,582.57
  4. Step 4: Simplify right side
    10,058.94x = 77,491,542.90
  5. Step 5: Solve for x
    x = 77,491,542.90/10,058.94
  6. Step 6: Final answer
    x = 7,703.75

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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.