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Finding the Fourth Proportional to 10,058.37, 13,880.53 and 5,582.17

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Solution

The fourth proportional to 10,058.37, 13,880.53 and 5,582.17 is: 7,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.37 : 13,880.53 = 5,582.17 : x
  2. Step 2: Convert to fraction form
    10,058.37/13,880.53 = 5,582.17/x
  3. Step 3: Cross multiply
    10,058.37x = 13,880.53 × 5,582.17
  4. Step 4: Simplify right side
    10,058.37x = 77,483,450.24
  5. Step 5: Solve for x
    x = 77,483,450.24/10,058.37
  6. Step 6: Final answer
    x = 7,703.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.