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Finding the Fourth Proportional to 10,084.96, 15,128.88 and 3,160

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Solution

The fourth proportional to 10,084.96, 15,128.88 and 3,160 is: 4,740.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.96 : 15,128.88 = 3,160 : x
  2. Step 2: Convert to fraction form
    10,084.96/15,128.88 = 3,160/x
  3. Step 3: Cross multiply
    10,084.96x = 15,128.88 × 3,160
  4. Step 4: Simplify right side
    10,084.96x = 47,807,260.80
  5. Step 5: Solve for x
    x = 47,807,260.80/10,084.96
  6. Step 6: Final answer
    x = 4,740.45

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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.