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Finding the Fourth Proportional to 10,315.97, 14,181.29 and 8,875.07

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Solution

The fourth proportional to 10,315.97, 14,181.29 and 8,875.07 is: 12,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.97 : 14,181.29 = 8,875.07 : x
  2. Step 2: Convert to fraction form
    10,315.97/14,181.29 = 8,875.07/x
  3. Step 3: Cross multiply
    10,315.97x = 14,181.29 × 8,875.07
  4. Step 4: Simplify right side
    10,315.97x = 125,859,826.16
  5. Step 5: Solve for x
    x = 125,859,826.16/10,315.97
  6. Step 6: Final answer
    x = 12,200.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.