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Finding the Fourth Proportional to 10,642.49, 14,686.62 and 5,927.89

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Solution

The fourth proportional to 10,642.49, 14,686.62 and 5,927.89 is: 8,180.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.49 : 14,686.62 = 5,927.89 : x
  2. Step 2: Convert to fraction form
    10,642.49/14,686.62 = 5,927.89/x
  3. Step 3: Cross multiply
    10,642.49x = 14,686.62 × 5,927.89
  4. Step 4: Simplify right side
    10,642.49x = 87,060,594.40
  5. Step 5: Solve for x
    x = 87,060,594.40/10,642.49
  6. Step 6: Final answer
    x = 8,180.47

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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.