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Finding the Fourth Proportional to 10,058.48, 13,880.57 and 5,582.22

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Solution

The fourth proportional to 10,058.48, 13,880.57 and 5,582.22 is: 7,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,058.48 : 13,880.57 = 5,582.22 : x
  2. Step 2: Convert to fraction form
    10,058.48/13,880.57 = 5,582.22/x
  3. Step 3: Cross multiply
    10,058.48x = 13,880.57 × 5,582.22
  4. Step 4: Simplify right side
    10,058.48x = 77,484,315.50
  5. Step 5: Solve for x
    x = 77,484,315.50/10,058.48
  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.