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Finding the Fourth Proportional to 10,502.06, 14,492.78 and 5,721.99

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Solution

The fourth proportional to 10,502.06, 14,492.78 and 5,721.99 is: 7,896.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.06 : 14,492.78 = 5,721.99 : x
  2. Step 2: Convert to fraction form
    10,502.06/14,492.78 = 5,721.99/x
  3. Step 3: Cross multiply
    10,502.06x = 14,492.78 × 5,721.99
  4. Step 4: Simplify right side
    10,502.06x = 82,927,513.62
  5. Step 5: Solve for x
    x = 82,927,513.62/10,502.06
  6. Step 6: Final answer
    x = 7,896.31

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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.