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Finding the Fourth Proportional to 10,720.99, 14,792.28 and 6,185.05

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Solution

The fourth proportional to 10,720.99, 14,792.28 and 6,185.05 is: 8,533.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.99 : 14,792.28 = 6,185.05 : x
  2. Step 2: Convert to fraction form
    10,720.99/14,792.28 = 6,185.05/x
  3. Step 3: Cross multiply
    10,720.99x = 14,792.28 × 6,185.05
  4. Step 4: Simplify right side
    10,720.99x = 91,490,917.45
  5. Step 5: Solve for x
    x = 91,490,917.45/10,720.99
  6. Step 6: Final answer
    x = 8,533.82

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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.