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Finding the Fourth Proportional to 10,223.84, 14,108.99 and 5,747.51

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Solution

The fourth proportional to 10,223.84, 14,108.99 and 5,747.51 is: 7,931.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.84 : 14,108.99 = 5,747.51 : x
  2. Step 2: Convert to fraction form
    10,223.84/14,108.99 = 5,747.51/x
  3. Step 3: Cross multiply
    10,223.84x = 14,108.99 × 5,747.51
  4. Step 4: Simplify right side
    10,223.84x = 81,091,461.83
  5. Step 5: Solve for x
    x = 81,091,461.83/10,223.84
  6. Step 6: Final answer
    x = 7,931.61

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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.