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Finding the Fourth Proportional to 7,684.26, 10,603.50 and 4,326.66

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Solution

The fourth proportional to 7,684.26, 10,603.50 and 4,326.66 is: 5,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.26 : 10,603.50 = 4,326.66 : x
  2. Step 2: Convert to fraction form
    7,684.26/10,603.50 = 4,326.66/x
  3. Step 3: Cross multiply
    7,684.26x = 10,603.50 × 4,326.66
  4. Step 4: Simplify right side
    7,684.26x = 45,877,739.31
  5. Step 5: Solve for x
    x = 45,877,739.31/7,684.26
  6. Step 6: Final answer
    x = 5,970.35

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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.