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Finding the Fourth Proportional to 10,490.13, 14,476.19 and 5,774.49

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Solution

The fourth proportional to 10,490.13, 14,476.19 and 5,774.49 is: 7,968.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.13 : 14,476.19 = 5,774.49 : x
  2. Step 2: Convert to fraction form
    10,490.13/14,476.19 = 5,774.49/x
  3. Step 3: Cross multiply
    10,490.13x = 14,476.19 × 5,774.49
  4. Step 4: Simplify right side
    10,490.13x = 83,592,585.52
  5. Step 5: Solve for x
    x = 83,592,585.52/10,490.13
  6. Step 6: Final answer
    x = 7,968.69

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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.