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Finding the Fourth Proportional to 6,971.95, 10,457.86 and 3,076.36

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Solution

The fourth proportional to 6,971.95, 10,457.86 and 3,076.36 is: 4,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.95 : 10,457.86 = 3,076.36 : x
  2. Step 2: Convert to fraction form
    6,971.95/10,457.86 = 3,076.36/x
  3. Step 3: Cross multiply
    6,971.95x = 10,457.86 × 3,076.36
  4. Step 4: Simplify right side
    6,971.95x = 32,172,142.19
  5. Step 5: Solve for x
    x = 32,172,142.19/6,971.95
  6. Step 6: Final answer
    x = 4,614.51

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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.