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Finding the Fourth Proportional to 7,783.40, 10,745.01 and 4,953.62

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Solution

The fourth proportional to 7,783.40, 10,745.01 and 4,953.62 is: 6,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.40 : 10,745.01 = 4,953.62 : x
  2. Step 2: Convert to fraction form
    7,783.40/10,745.01 = 4,953.62/x
  3. Step 3: Cross multiply
    7,783.40x = 10,745.01 × 4,953.62
  4. Step 4: Simplify right side
    7,783.40x = 53,226,696.44
  5. Step 5: Solve for x
    x = 53,226,696.44/7,783.40
  6. Step 6: Final answer
    x = 6,838.49

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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.