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Finding the Fourth Proportional to 10,223.76, 14,105.16 and 6,689.04

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Solution

The fourth proportional to 10,223.76, 14,105.16 and 6,689.04 is: 9,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.76 : 14,105.16 = 6,689.04 : x
  2. Step 2: Convert to fraction form
    10,223.76/14,105.16 = 6,689.04/x
  3. Step 3: Cross multiply
    10,223.76x = 14,105.16 × 6,689.04
  4. Step 4: Simplify right side
    10,223.76x = 94,349,979.45
  5. Step 5: Solve for x
    x = 94,349,979.45/10,223.76
  6. Step 6: Final answer
    x = 9,228.50

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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.