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Finding the Fourth Proportional to 10,490.02, 14,475.99 and 5,774.20

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Solution

The fourth proportional to 10,490.02, 14,475.99 and 5,774.20 is: 7,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.02 : 14,475.99 = 5,774.20 : x
  2. Step 2: Convert to fraction form
    10,490.02/14,475.99 = 5,774.20/x
  3. Step 3: Cross multiply
    10,490.02x = 14,475.99 × 5,774.20
  4. Step 4: Simplify right side
    10,490.02x = 83,587,261.46
  5. Step 5: Solve for x
    x = 83,587,261.46/10,490.02
  6. Step 6: Final answer
    x = 7,968.27

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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.