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Finding the Fourth Proportional to 7,783.38, 10,741.06 and 4,988.88

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Solution

The fourth proportional to 7,783.38, 10,741.06 and 4,988.88 is: 6,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.38 : 10,741.06 = 4,988.88 : x
  2. Step 2: Convert to fraction form
    7,783.38/10,741.06 = 4,988.88/x
  3. Step 3: Cross multiply
    7,783.38x = 10,741.06 × 4,988.88
  4. Step 4: Simplify right side
    7,783.38x = 53,585,805.71
  5. Step 5: Solve for x
    x = 53,585,805.71/7,783.38
  6. Step 6: Final answer
    x = 6,884.65

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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.