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Finding the Fourth Proportional to 7,135.66, 10,713.88 and 5,066.65

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Solution

The fourth proportional to 7,135.66, 10,713.88 and 5,066.65 is: 7,607.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.66 : 10,713.88 = 5,066.65 : x
  2. Step 2: Convert to fraction form
    7,135.66/10,713.88 = 5,066.65/x
  3. Step 3: Cross multiply
    7,135.66x = 10,713.88 × 5,066.65
  4. Step 4: Simplify right side
    7,135.66x = 54,283,480.10
  5. Step 5: Solve for x
    x = 54,283,480.10/7,135.66
  6. Step 6: Final answer
    x = 7,607.35

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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.