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Finding the Fourth Proportional to 10,094.71, 15,142.14 and 3,853.04

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Solution

The fourth proportional to 10,094.71, 15,142.14 and 3,853.04 is: 5,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,094.71 : 15,142.14 = 3,853.04 : x
  2. Step 2: Convert to fraction form
    10,094.71/15,142.14 = 3,853.04/x
  3. Step 3: Cross multiply
    10,094.71x = 15,142.14 × 3,853.04
  4. Step 4: Simplify right side
    10,094.71x = 58,343,271.11
  5. Step 5: Solve for x
    x = 58,343,271.11/10,094.71
  6. Step 6: Final answer
    x = 5,779.59

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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.