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Finding the Fourth Proportional to 7,570.10, 10,447.06 and 4,584.26

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Solution

The fourth proportional to 7,570.10, 10,447.06 and 4,584.26 is: 6,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.10 : 10,447.06 = 4,584.26 : x
  2. Step 2: Convert to fraction form
    7,570.10/10,447.06 = 4,584.26/x
  3. Step 3: Cross multiply
    7,570.10x = 10,447.06 × 4,584.26
  4. Step 4: Simplify right side
    7,570.10x = 47,892,039.28
  5. Step 5: Solve for x
    x = 47,892,039.28/7,570.10
  6. Step 6: Final answer
    x = 6,326.47

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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.