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Finding the Fourth Proportional to 7,686.28, 10,607.62 and 4,329.64

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Solution

The fourth proportional to 7,686.28, 10,607.62 and 4,329.64 is: 5,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.28 : 10,607.62 = 4,329.64 : x
  2. Step 2: Convert to fraction form
    7,686.28/10,607.62 = 4,329.64/x
  3. Step 3: Cross multiply
    7,686.28x = 10,607.62 × 4,329.64
  4. Step 4: Simplify right side
    7,686.28x = 45,927,175.86
  5. Step 5: Solve for x
    x = 45,927,175.86/7,686.28
  6. Step 6: Final answer
    x = 5,975.22

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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.