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Finding the Fourth Proportional to 10,085, 15,128.04 and 3,160.04

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Solution

The fourth proportional to 10,085, 15,128.04 and 3,160.04 is: 4,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085 : 15,128.04 = 3,160.04 : x
  2. Step 2: Convert to fraction form
    10,085/15,128.04 = 3,160.04/x
  3. Step 3: Cross multiply
    10,085x = 15,128.04 × 3,160.04
  4. Step 4: Simplify right side
    10,085x = 47,805,211.52
  5. Step 5: Solve for x
    x = 47,805,211.52/10,085
  6. Step 6: Final answer
    x = 4,740.23

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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.