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Finding the Fourth Proportional to 10,938.83, 15,097.03 and 6,222.20

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Solution

The fourth proportional to 10,938.83, 15,097.03 and 6,222.20 is: 8,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.83 : 15,097.03 = 6,222.20 : x
  2. Step 2: Convert to fraction form
    10,938.83/15,097.03 = 6,222.20/x
  3. Step 3: Cross multiply
    10,938.83x = 15,097.03 × 6,222.20
  4. Step 4: Simplify right side
    10,938.83x = 93,936,740.07
  5. Step 5: Solve for x
    x = 93,936,740.07/10,938.83
  6. Step 6: Final answer
    x = 8,587.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.