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Finding the Fourth Proportional to 10,490.67, 14,477.01 and 5,774.85

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Solution

The fourth proportional to 10,490.67, 14,477.01 and 5,774.85 is: 7,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.67 : 14,477.01 = 5,774.85 : x
  2. Step 2: Convert to fraction form
    10,490.67/14,477.01 = 5,774.85/x
  3. Step 3: Cross multiply
    10,490.67x = 14,477.01 × 5,774.85
  4. Step 4: Simplify right side
    10,490.67x = 83,602,561.20
  5. Step 5: Solve for x
    x = 83,602,561.20/10,490.67
  6. Step 6: Final answer
    x = 7,969.23

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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.