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Finding the Fourth Proportional to 10,035.44, 15,031.32 and 6,128

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Solution

The fourth proportional to 10,035.44, 15,031.32 and 6,128 is: 9,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.44 : 15,031.32 = 6,128 : x
  2. Step 2: Convert to fraction form
    10,035.44/15,031.32 = 6,128/x
  3. Step 3: Cross multiply
    10,035.44x = 15,031.32 × 6,128
  4. Step 4: Simplify right side
    10,035.44x = 92,111,928.96
  5. Step 5: Solve for x
    x = 92,111,928.96/10,035.44
  6. Step 6: Final answer
    x = 9,178.66

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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.