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Finding the Fourth Proportional to 7,322.64, 10,056.50 and 6,141.66

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Solution

The fourth proportional to 7,322.64, 10,056.50 and 6,141.66 is: 8,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,322.64 : 10,056.50 = 6,141.66 : x
  2. Step 2: Convert to fraction form
    7,322.64/10,056.50 = 6,141.66/x
  3. Step 3: Cross multiply
    7,322.64x = 10,056.50 × 6,141.66
  4. Step 4: Simplify right side
    7,322.64x = 61,763,573.08
  5. Step 5: Solve for x
    x = 61,763,573.08/7,322.64
  6. Step 6: Final answer
    x = 8,434.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.