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Finding the Fourth Proportional to 7,566.35, 10,440.56 and 4,208.49

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Solution

The fourth proportional to 7,566.35, 10,440.56 and 4,208.49 is: 5,807.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.35 : 10,440.56 = 4,208.49 : x
  2. Step 2: Convert to fraction form
    7,566.35/10,440.56 = 4,208.49/x
  3. Step 3: Cross multiply
    7,566.35x = 10,440.56 × 4,208.49
  4. Step 4: Simplify right side
    7,566.35x = 43,938,971.31
  5. Step 5: Solve for x
    x = 43,938,971.31/7,566.35
  6. Step 6: Final answer
    x = 5,807.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.