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Finding the Fourth Proportional to 7,684.35, 10,603.62 and 4,326.63

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Solution

The fourth proportional to 7,684.35, 10,603.62 and 4,326.63 is: 5,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.35 : 10,603.62 = 4,326.63 : x
  2. Step 2: Convert to fraction form
    7,684.35/10,603.62 = 4,326.63/x
  3. Step 3: Cross multiply
    7,684.35x = 10,603.62 × 4,326.63
  4. Step 4: Simplify right side
    7,684.35x = 45,877,940.40
  5. Step 5: Solve for x
    x = 45,877,940.40/7,684.35
  6. Step 6: Final answer
    x = 5,970.31

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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.