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Finding the Fourth Proportional to 10,490.52, 14,476.68 and 5,774.70

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Solution

The fourth proportional to 10,490.52, 14,476.68 and 5,774.70 is: 7,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.52 : 14,476.68 = 5,774.70 : x
  2. Step 2: Convert to fraction form
    10,490.52/14,476.68 = 5,774.70/x
  3. Step 3: Cross multiply
    10,490.52x = 14,476.68 × 5,774.70
  4. Step 4: Simplify right side
    10,490.52x = 83,598,484.00
  5. Step 5: Solve for x
    x = 83,598,484.00/10,490.52
  6. Step 6: Final answer
    x = 7,968.96

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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.