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Finding the Fourth Proportional to 7,816.52, 10,782.42 and 4,670.84

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Solution

The fourth proportional to 7,816.52, 10,782.42 and 4,670.84 is: 6,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.52 : 10,782.42 = 4,670.84 : x
  2. Step 2: Convert to fraction form
    7,816.52/10,782.42 = 4,670.84/x
  3. Step 3: Cross multiply
    7,816.52x = 10,782.42 × 4,670.84
  4. Step 4: Simplify right side
    7,816.52x = 50,362,958.63
  5. Step 5: Solve for x
    x = 50,362,958.63/7,816.52
  6. Step 6: Final answer
    x = 6,443.14

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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.