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Finding the Fourth Proportional to 10,149.95, 15,225.66 and 3,486.94

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Solution

The fourth proportional to 10,149.95, 15,225.66 and 3,486.94 is: 5,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.95 : 15,225.66 = 3,486.94 : x
  2. Step 2: Convert to fraction form
    10,149.95/15,225.66 = 3,486.94/x
  3. Step 3: Cross multiply
    10,149.95x = 15,225.66 × 3,486.94
  4. Step 4: Simplify right side
    10,149.95x = 53,090,924.82
  5. Step 5: Solve for x
    x = 53,090,924.82/10,149.95
  6. Step 6: Final answer
    x = 5,230.66

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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.