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Finding the Fourth Proportional to 10,618.84, 15,929.01 and 3,223.90

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Solution

The fourth proportional to 10,618.84, 15,929.01 and 3,223.90 is: 4,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.84 : 15,929.01 = 3,223.90 : x
  2. Step 2: Convert to fraction form
    10,618.84/15,929.01 = 3,223.90/x
  3. Step 3: Cross multiply
    10,618.84x = 15,929.01 × 3,223.90
  4. Step 4: Simplify right side
    10,618.84x = 51,353,535.34
  5. Step 5: Solve for x
    x = 51,353,535.34/10,618.84
  6. Step 6: Final answer
    x = 4,836.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.