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Finding the Fourth Proportional to 10,602.28, 14,630.92 and 5,886.48

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Solution

The fourth proportional to 10,602.28, 14,630.92 and 5,886.48 is: 8,123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.28 : 14,630.92 = 5,886.48 : x
  2. Step 2: Convert to fraction form
    10,602.28/14,630.92 = 5,886.48/x
  3. Step 3: Cross multiply
    10,602.28x = 14,630.92 × 5,886.48
  4. Step 4: Simplify right side
    10,602.28x = 86,124,617.96
  5. Step 5: Solve for x
    x = 86,124,617.96/10,602.28
  6. Step 6: Final answer
    x = 8,123.22

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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.