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Finding the Fourth Proportional to 7,804.63, 10,771.70 and 4,973.30

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Solution

The fourth proportional to 7,804.63, 10,771.70 and 4,973.30 is: 6,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.63 : 10,771.70 = 4,973.30 : x
  2. Step 2: Convert to fraction form
    7,804.63/10,771.70 = 4,973.30/x
  3. Step 3: Cross multiply
    7,804.63x = 10,771.70 × 4,973.30
  4. Step 4: Simplify right side
    7,804.63x = 53,570,864.27
  5. Step 5: Solve for x
    x = 53,570,864.27/7,804.63
  6. Step 6: Final answer
    x = 6,863.99

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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.