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Finding the Fourth Proportional to 12,352, 17,046.08 and 6,763.20

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Solution

The fourth proportional to 12,352, 17,046.08 and 6,763.20 is: 9,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,352 : 17,046.08 = 6,763.20 : x
  2. Step 2: Convert to fraction form
    12,352/17,046.08 = 6,763.20/x
  3. Step 3: Cross multiply
    12,352x = 17,046.08 × 6,763.20
  4. Step 4: Simplify right side
    12,352x = 115,286,048.26
  5. Step 5: Solve for x
    x = 115,286,048.26/12,352
  6. Step 6: Final answer
    x = 9,333.39

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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.