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Finding the Fourth Proportional to 7,635.47, 11,460.49 and 4,719.47

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Solution

The fourth proportional to 7,635.47, 11,460.49 and 4,719.47 is: 7,083.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.47 : 11,460.49 = 4,719.47 : x
  2. Step 2: Convert to fraction form
    7,635.47/11,460.49 = 4,719.47/x
  3. Step 3: Cross multiply
    7,635.47x = 11,460.49 × 4,719.47
  4. Step 4: Simplify right side
    7,635.47x = 54,087,369.64
  5. Step 5: Solve for x
    x = 54,087,369.64/7,635.47
  6. Step 6: Final answer
    x = 7,083.70

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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.