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Finding the Fourth Proportional to 12,710.30, 17,540.34 and 7,045.17

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Solution

The fourth proportional to 12,710.30, 17,540.34 and 7,045.17 is: 9,722.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.30 : 17,540.34 = 7,045.17 : x
  2. Step 2: Convert to fraction form
    12,710.30/17,540.34 = 7,045.17/x
  3. Step 3: Cross multiply
    12,710.30x = 17,540.34 × 7,045.17
  4. Step 4: Simplify right side
    12,710.30x = 123,574,677.16
  5. Step 5: Solve for x
    x = 123,574,677.16/12,710.30
  6. Step 6: Final answer
    x = 9,722.40

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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.