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Finding the Fourth Proportional to 10,459.94, 14,441.49 and 7,272.18

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Solution

The fourth proportional to 10,459.94, 14,441.49 and 7,272.18 is: 10,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.94 : 14,441.49 = 7,272.18 : x
  2. Step 2: Convert to fraction form
    10,459.94/14,441.49 = 7,272.18/x
  3. Step 3: Cross multiply
    10,459.94x = 14,441.49 × 7,272.18
  4. Step 4: Simplify right side
    10,459.94x = 105,021,114.75
  5. Step 5: Solve for x
    x = 105,021,114.75/10,459.94
  6. Step 6: Final answer
    x = 10,040.32

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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.