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Finding the Fourth Proportional to 10,602.78, 14,630.73 and 5,886.18

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Solution

The fourth proportional to 10,602.78, 14,630.73 and 5,886.18 is: 8,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.78 : 14,630.73 = 5,886.18 : x
  2. Step 2: Convert to fraction form
    10,602.78/14,630.73 = 5,886.18/x
  3. Step 3: Cross multiply
    10,602.78x = 14,630.73 × 5,886.18
  4. Step 4: Simplify right side
    10,602.78x = 86,119,110.31
  5. Step 5: Solve for x
    x = 86,119,110.31/10,602.78
  6. Step 6: Final answer
    x = 8,122.31

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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.