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Finding the Fourth Proportional to 10,812.51, 16,213 and 3,314.75

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Solution

The fourth proportional to 10,812.51, 16,213 and 3,314.75 is: 4,970.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.51 : 16,213 = 3,314.75 : x
  2. Step 2: Convert to fraction form
    10,812.51/16,213 = 3,314.75/x
  3. Step 3: Cross multiply
    10,812.51x = 16,213 × 3,314.75
  4. Step 4: Simplify right side
    10,812.51x = 53,742,041.75
  5. Step 5: Solve for x
    x = 53,742,041.75/10,812.51
  6. Step 6: Final answer
    x = 4,970.36

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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.