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Finding the Fourth Proportional to 10,875.25, 15,007.85 and 6,161.05

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Solution

The fourth proportional to 10,875.25, 15,007.85 and 6,161.05 is: 8,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875.25 : 15,007.85 = 6,161.05 : x
  2. Step 2: Convert to fraction form
    10,875.25/15,007.85 = 6,161.05/x
  3. Step 3: Cross multiply
    10,875.25x = 15,007.85 × 6,161.05
  4. Step 4: Simplify right side
    10,875.25x = 92,464,114.24
  5. Step 5: Solve for x
    x = 92,464,114.24/10,875.25
  6. Step 6: Final answer
    x = 8,502.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.