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Finding the Fourth Proportional to 10,875.96, 16,317.83 and 6,711.12

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Solution

The fourth proportional to 10,875.96, 16,317.83 and 6,711.12 is: 10,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.96 : 16,317.83 = 6,711.12 : x
  2. Step 2: Convert to fraction form
    10,875.96/16,317.83 = 6,711.12/x
  3. Step 3: Cross multiply
    10,875.96x = 16,317.83 × 6,711.12
  4. Step 4: Simplify right side
    10,875.96x = 109,510,881.71
  5. Step 5: Solve for x
    x = 109,510,881.71/10,875.96
  6. Step 6: Final answer
    x = 10,069.08

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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.