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Finding the Fourth Proportional to 7,179.16, 9,903.44 and 5,407.68

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Solution

The fourth proportional to 7,179.16, 9,903.44 and 5,407.68 is: 7,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.16 : 9,903.44 = 5,407.68 : x
  2. Step 2: Convert to fraction form
    7,179.16/9,903.44 = 5,407.68/x
  3. Step 3: Cross multiply
    7,179.16x = 9,903.44 × 5,407.68
  4. Step 4: Simplify right side
    7,179.16x = 53,554,634.42
  5. Step 5: Solve for x
    x = 53,554,634.42/7,179.16
  6. Step 6: Final answer
    x = 7,459.74

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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.