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Finding the Fourth Proportional to 12,030.48, 16,602.92 and 8,298

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Solution

The fourth proportional to 12,030.48, 16,602.92 and 8,298 is: 11,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.48 : 16,602.92 = 8,298 : x
  2. Step 2: Convert to fraction form
    12,030.48/16,602.92 = 8,298/x
  3. Step 3: Cross multiply
    12,030.48x = 16,602.92 × 8,298
  4. Step 4: Simplify right side
    12,030.48x = 137,771,030.16
  5. Step 5: Solve for x
    x = 137,771,030.16/12,030.48
  6. Step 6: Final answer
    x = 11,451.83

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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.