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Finding the Fourth Proportional to 7,832.48, 10,807.60 and 4,688

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Solution

The fourth proportional to 7,832.48, 10,807.60 and 4,688 is: 6,468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.48 : 10,807.60 = 4,688 : x
  2. Step 2: Convert to fraction form
    7,832.48/10,807.60 = 4,688/x
  3. Step 3: Cross multiply
    7,832.48x = 10,807.60 × 4,688
  4. Step 4: Simplify right side
    7,832.48x = 50,666,028.80
  5. Step 5: Solve for x
    x = 50,666,028.80/7,832.48
  6. Step 6: Final answer
    x = 6,468.71

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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.