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Finding the Fourth Proportional to 7,830.48, 10,804.92 and 4,686

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Solution

The fourth proportional to 7,830.48, 10,804.92 and 4,686 is: 6,466.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.48 : 10,804.92 = 4,686 : x
  2. Step 2: Convert to fraction form
    7,830.48/10,804.92 = 4,686/x
  3. Step 3: Cross multiply
    7,830.48x = 10,804.92 × 4,686
  4. Step 4: Simplify right side
    7,830.48x = 50,631,855.12
  5. Step 5: Solve for x
    x = 50,631,855.12/7,830.48
  6. Step 6: Final answer
    x = 6,466.00

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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.