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Finding the Fourth Proportional to 7,670.10, 11,505.41 and 2,047.71

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Solution

The fourth proportional to 7,670.10, 11,505.41 and 2,047.71 is: 3,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670.10 : 11,505.41 = 2,047.71 : x
  2. Step 2: Convert to fraction form
    7,670.10/11,505.41 = 2,047.71/x
  3. Step 3: Cross multiply
    7,670.10x = 11,505.41 × 2,047.71
  4. Step 4: Simplify right side
    7,670.10x = 23,559,743.11
  5. Step 5: Solve for x
    x = 23,559,743.11/7,670.10
  6. Step 6: Final answer
    x = 3,071.63

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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.