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Finding the Fourth Proportional to 7,783.34, 10,740.74 and 4,426.29

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Solution

The fourth proportional to 7,783.34, 10,740.74 and 4,426.29 is: 6,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.34 : 10,740.74 = 4,426.29 : x
  2. Step 2: Convert to fraction form
    7,783.34/10,740.74 = 4,426.29/x
  3. Step 3: Cross multiply
    7,783.34x = 10,740.74 × 4,426.29
  4. Step 4: Simplify right side
    7,783.34x = 47,541,607.92
  5. Step 5: Solve for x
    x = 47,541,607.92/7,783.34
  6. Step 6: Final answer
    x = 6,108.13

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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.