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Finding the Fourth Proportional to 10,658.58, 15,994.92 and 3,733.08

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Solution

The fourth proportional to 10,658.58, 15,994.92 and 3,733.08 is: 5,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.58 : 15,994.92 = 3,733.08 : x
  2. Step 2: Convert to fraction form
    10,658.58/15,994.92 = 3,733.08/x
  3. Step 3: Cross multiply
    10,658.58x = 15,994.92 × 3,733.08
  4. Step 4: Simplify right side
    10,658.58x = 59,710,315.95
  5. Step 5: Solve for x
    x = 59,710,315.95/10,658.58
  6. Step 6: Final answer
    x = 5,602.09

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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.