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Finding the Fourth Proportional to 7,684.08, 10,603.80 and 5,597.04

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Solution

The fourth proportional to 7,684.08, 10,603.80 and 5,597.04 is: 7,723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.08 : 10,603.80 = 5,597.04 : x
  2. Step 2: Convert to fraction form
    7,684.08/10,603.80 = 5,597.04/x
  3. Step 3: Cross multiply
    7,684.08x = 10,603.80 × 5,597.04
  4. Step 4: Simplify right side
    7,684.08x = 59,349,892.75
  5. Step 5: Solve for x
    x = 59,349,892.75/7,684.08
  6. Step 6: Final answer
    x = 7,723.75

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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.