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Finding the Fourth Proportional to 10,071.44, 15,106.70 and 3,498.14

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Solution

The fourth proportional to 10,071.44, 15,106.70 and 3,498.14 is: 5,247.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.44 : 15,106.70 = 3,498.14 : x
  2. Step 2: Convert to fraction form
    10,071.44/15,106.70 = 3,498.14/x
  3. Step 3: Cross multiply
    10,071.44x = 15,106.70 × 3,498.14
  4. Step 4: Simplify right side
    10,071.44x = 52,845,313.07
  5. Step 5: Solve for x
    x = 52,845,313.07/10,071.44
  6. Step 6: Final answer
    x = 5,247.05

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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.