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Finding the Fourth Proportional to 10,490.99, 14,477.51 and 5,775.26

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Solution

The fourth proportional to 10,490.99, 14,477.51 and 5,775.26 is: 7,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.99 : 14,477.51 = 5,775.26 : x
  2. Step 2: Convert to fraction form
    10,490.99/14,477.51 = 5,775.26/x
  3. Step 3: Cross multiply
    10,490.99x = 14,477.51 × 5,775.26
  4. Step 4: Simplify right side
    10,490.99x = 83,611,435.03
  5. Step 5: Solve for x
    x = 83,611,435.03/10,490.99
  6. Step 6: Final answer
    x = 7,969.84

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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.