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Finding the Fourth Proportional to 12,389.16, 17,089.48 and 7,350

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Solution

The fourth proportional to 12,389.16, 17,089.48 and 7,350 is: 10,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,389.16 : 17,089.48 = 7,350 : x
  2. Step 2: Convert to fraction form
    12,389.16/17,089.48 = 7,350/x
  3. Step 3: Cross multiply
    12,389.16x = 17,089.48 × 7,350
  4. Step 4: Simplify right side
    12,389.16x = 125,607,678
  5. Step 5: Solve for x
    x = 125,607,678/12,389.16
  6. Step 6: Final answer
    x = 10,138.51

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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.