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Finding the Fourth Proportional to 10,090.64, 15,136.08 and 3,071.80

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Solution

The fourth proportional to 10,090.64, 15,136.08 and 3,071.80 is: 4,607.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,090.64 : 15,136.08 = 3,071.80 : x
  2. Step 2: Convert to fraction form
    10,090.64/15,136.08 = 3,071.80/x
  3. Step 3: Cross multiply
    10,090.64x = 15,136.08 × 3,071.80
  4. Step 4: Simplify right side
    10,090.64x = 46,495,010.54
  5. Step 5: Solve for x
    x = 46,495,010.54/10,090.64
  6. Step 6: Final answer
    x = 4,607.74

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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.