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Finding the Fourth Proportional to 7,851.38, 10,830.09 and 4,662.51

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Solution

The fourth proportional to 7,851.38, 10,830.09 and 4,662.51 is: 6,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.38 : 10,830.09 = 4,662.51 : x
  2. Step 2: Convert to fraction form
    7,851.38/10,830.09 = 4,662.51/x
  3. Step 3: Cross multiply
    7,851.38x = 10,830.09 × 4,662.51
  4. Step 4: Simplify right side
    7,851.38x = 50,495,402.93
  5. Step 5: Solve for x
    x = 50,495,402.93/7,851.38
  6. Step 6: Final answer
    x = 6,431.40

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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.