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Finding the Fourth Proportional to 7,835.54, 10,812.29 and 4,477.28

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Solution

The fourth proportional to 7,835.54, 10,812.29 and 4,477.28 is: 6,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.54 : 10,812.29 = 4,477.28 : x
  2. Step 2: Convert to fraction form
    7,835.54/10,812.29 = 4,477.28/x
  3. Step 3: Cross multiply
    7,835.54x = 10,812.29 × 4,477.28
  4. Step 4: Simplify right side
    7,835.54x = 48,409,573.32
  5. Step 5: Solve for x
    x = 48,409,573.32/7,835.54
  6. Step 6: Final answer
    x = 6,178.21

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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.