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Finding the Fourth Proportional to 7,790.05, 10,749 and 4,807.09

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Solution

The fourth proportional to 7,790.05, 10,749 and 4,807.09 is: 6,633.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.05 : 10,749 = 4,807.09 : x
  2. Step 2: Convert to fraction form
    7,790.05/10,749 = 4,807.09/x
  3. Step 3: Cross multiply
    7,790.05x = 10,749 × 4,807.09
  4. Step 4: Simplify right side
    7,790.05x = 51,671,410.41
  5. Step 5: Solve for x
    x = 51,671,410.41/7,790.05
  6. Step 6: Final answer
    x = 6,633.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.