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Finding the Fourth Proportional to 7,364.30, 10,158.30 and 4,711.64

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Solution

The fourth proportional to 7,364.30, 10,158.30 and 4,711.64 is: 6,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.30 : 10,158.30 = 4,711.64 : x
  2. Step 2: Convert to fraction form
    7,364.30/10,158.30 = 4,711.64/x
  3. Step 3: Cross multiply
    7,364.30x = 10,158.30 × 4,711.64
  4. Step 4: Simplify right side
    7,364.30x = 47,862,201.82
  5. Step 5: Solve for x
    x = 47,862,201.82/7,364.30
  6. Step 6: Final answer
    x = 6,499.22

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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.