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Finding the Fourth Proportional to 10,071.78, 13,900.16 and 6,095.10

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Solution

The fourth proportional to 10,071.78, 13,900.16 and 6,095.10 is: 8,411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.78 : 13,900.16 = 6,095.10 : x
  2. Step 2: Convert to fraction form
    10,071.78/13,900.16 = 6,095.10/x
  3. Step 3: Cross multiply
    10,071.78x = 13,900.16 × 6,095.10
  4. Step 4: Simplify right side
    10,071.78x = 84,722,865.22
  5. Step 5: Solve for x
    x = 84,722,865.22/10,071.78
  6. Step 6: Final answer
    x = 8,411.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.