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Finding the Fourth Proportional to 7,851.48, 10,830.84 and 6,593.88

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Solution

The fourth proportional to 7,851.48, 10,830.84 and 6,593.88 is: 9,096.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.48 : 10,830.84 = 6,593.88 : x
  2. Step 2: Convert to fraction form
    7,851.48/10,830.84 = 6,593.88/x
  3. Step 3: Cross multiply
    7,851.48x = 10,830.84 × 6,593.88
  4. Step 4: Simplify right side
    7,851.48x = 71,417,259.26
  5. Step 5: Solve for x
    x = 71,417,259.26/7,851.48
  6. Step 6: Final answer
    x = 9,096.03

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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.