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Finding the Fourth Proportional to 10,091.34, 15,137.04 and 3,071.40

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Solution

The fourth proportional to 10,091.34, 15,137.04 and 3,071.40 is: 4,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,091.34 : 15,137.04 = 3,071.40 : x
  2. Step 2: Convert to fraction form
    10,091.34/15,137.04 = 3,071.40/x
  3. Step 3: Cross multiply
    10,091.34x = 15,137.04 × 3,071.40
  4. Step 4: Simplify right side
    10,091.34x = 46,491,904.66
  5. Step 5: Solve for x
    x = 46,491,904.66/10,091.34
  6. Step 6: Final answer
    x = 4,607.11

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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.