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Finding the Fourth Proportional to 10,492.13, 15,733.33 and 3,913.58

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Solution

The fourth proportional to 10,492.13, 15,733.33 and 3,913.58 is: 5,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.13 : 15,733.33 = 3,913.58 : x
  2. Step 2: Convert to fraction form
    10,492.13/15,733.33 = 3,913.58/x
  3. Step 3: Cross multiply
    10,492.13x = 15,733.33 × 3,913.58
  4. Step 4: Simplify right side
    10,492.13x = 61,573,645.62
  5. Step 5: Solve for x
    x = 61,573,645.62/10,492.13
  6. Step 6: Final answer
    x = 5,868.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.