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Finding the Fourth Proportional to 10,114.84, 15,173.10 and 3,094.66

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Solution

The fourth proportional to 10,114.84, 15,173.10 and 3,094.66 is: 4,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.84 : 15,173.10 = 3,094.66 : x
  2. Step 2: Convert to fraction form
    10,114.84/15,173.10 = 3,094.66/x
  3. Step 3: Cross multiply
    10,114.84x = 15,173.10 × 3,094.66
  4. Step 4: Simplify right side
    10,114.84x = 46,955,585.65
  5. Step 5: Solve for x
    x = 46,955,585.65/10,114.84
  6. Step 6: Final answer
    x = 4,642.25

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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.