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Finding the Fourth Proportional to 7,816.46, 10,782.23 and 4,830.17

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Solution

The fourth proportional to 7,816.46, 10,782.23 and 4,830.17 is: 6,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.46 : 10,782.23 = 4,830.17 : x
  2. Step 2: Convert to fraction form
    7,816.46/10,782.23 = 4,830.17/x
  3. Step 3: Cross multiply
    7,816.46x = 10,782.23 × 4,830.17
  4. Step 4: Simplify right side
    7,816.46x = 52,079,925.82
  5. Step 5: Solve for x
    x = 52,079,925.82/7,816.46
  6. Step 6: Final answer
    x = 6,662.86

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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.