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Finding the Fourth Proportional to 8,894.38, 13,360 and 7,058.42

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Solution

The fourth proportional to 8,894.38, 13,360 and 7,058.42 is: 10,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.38 : 13,360 = 7,058.42 : x
  2. Step 2: Convert to fraction form
    8,894.38/13,360 = 7,058.42/x
  3. Step 3: Cross multiply
    8,894.38x = 13,360 × 7,058.42
  4. Step 4: Simplify right side
    8,894.38x = 94,300,491.20
  5. Step 5: Solve for x
    x = 94,300,491.20/8,894.38
  6. Step 6: Final answer
    x = 10,602.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.