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Finding the Fourth Proportional to 7,889.68, 10,888.40 and 4,353.60

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Solution

The fourth proportional to 7,889.68, 10,888.40 and 4,353.60 is: 6,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.68 : 10,888.40 = 4,353.60 : x
  2. Step 2: Convert to fraction form
    7,889.68/10,888.40 = 4,353.60/x
  3. Step 3: Cross multiply
    7,889.68x = 10,888.40 × 4,353.60
  4. Step 4: Simplify right side
    7,889.68x = 47,403,738.24
  5. Step 5: Solve for x
    x = 47,403,738.24/7,889.68
  6. Step 6: Final answer
    x = 6,008.32

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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.