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Finding the Fourth Proportional to 10,490.23, 14,476.52 and 5,774.52

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Solution

The fourth proportional to 10,490.23, 14,476.52 and 5,774.52 is: 7,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.23 : 14,476.52 = 5,774.52 : x
  2. Step 2: Convert to fraction form
    10,490.23/14,476.52 = 5,774.52/x
  3. Step 3: Cross multiply
    10,490.23x = 14,476.52 × 5,774.52
  4. Step 4: Simplify right side
    10,490.23x = 83,594,954.27
  5. Step 5: Solve for x
    x = 83,594,954.27/10,490.23
  6. Step 6: Final answer
    x = 7,968.84

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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.