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Finding the Fourth Proportional to 10,156.84, 15,223.08 and 5,228.80

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Solution

The fourth proportional to 10,156.84, 15,223.08 and 5,228.80 is: 7,836.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.84 : 15,223.08 = 5,228.80 : x
  2. Step 2: Convert to fraction form
    10,156.84/15,223.08 = 5,228.80/x
  3. Step 3: Cross multiply
    10,156.84x = 15,223.08 × 5,228.80
  4. Step 4: Simplify right side
    10,156.84x = 79,598,440.70
  5. Step 5: Solve for x
    x = 79,598,440.70/10,156.84
  6. Step 6: Final answer
    x = 7,836.93

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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.