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Finding the Fourth Proportional to 7,833.85, 10,810.51 and 4,647.13

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Solution

The fourth proportional to 7,833.85, 10,810.51 and 4,647.13 is: 6,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.85 : 10,810.51 = 4,647.13 : x
  2. Step 2: Convert to fraction form
    7,833.85/10,810.51 = 4,647.13/x
  3. Step 3: Cross multiply
    7,833.85x = 10,810.51 × 4,647.13
  4. Step 4: Simplify right side
    7,833.85x = 50,237,822.10
  5. Step 5: Solve for x
    x = 50,237,822.10/7,833.85
  6. Step 6: Final answer
    x = 6,412.92

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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.