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Finding the Fourth Proportional to 7,830.03, 11,744.51 and 3,670.97

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Solution

The fourth proportional to 7,830.03, 11,744.51 and 3,670.97 is: 5,506.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.03 : 11,744.51 = 3,670.97 : x
  2. Step 2: Convert to fraction form
    7,830.03/11,744.51 = 3,670.97/x
  3. Step 3: Cross multiply
    7,830.03x = 11,744.51 × 3,670.97
  4. Step 4: Simplify right side
    7,830.03x = 43,113,782.41
  5. Step 5: Solve for x
    x = 43,113,782.41/7,830.03
  6. Step 6: Final answer
    x = 5,506.21

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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.