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Finding the Fourth Proportional to 11,937.58, 17,920.00 and 9,307.91

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Solution

The fourth proportional to 11,937.58, 17,920.00 and 9,307.91 is: 13,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,937.58 : 17,920.00 = 9,307.91 : x
  2. Step 2: Convert to fraction form
    11,937.58/17,920.00 = 9,307.91/x
  3. Step 3: Cross multiply
    11,937.58x = 17,920.00 × 9,307.91
  4. Step 4: Simplify right side
    11,937.58x = 166,797,803.63
  5. Step 5: Solve for x
    x = 166,797,803.63/11,937.58
  6. Step 6: Final answer
    x = 13,972.50

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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.