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Finding the Fourth Proportional to 8,489.48, 11,719.40 and 5,088.10

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Solution

The fourth proportional to 8,489.48, 11,719.40 and 5,088.10 is: 7,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.48 : 11,719.40 = 5,088.10 : x
  2. Step 2: Convert to fraction form
    8,489.48/11,719.40 = 5,088.10/x
  3. Step 3: Cross multiply
    8,489.48x = 11,719.40 × 5,088.10
  4. Step 4: Simplify right side
    8,489.48x = 59,629,460.69
  5. Step 5: Solve for x
    x = 59,629,460.69/8,489.48
  6. Step 6: Final answer
    x = 7,023.93

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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.