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Finding the Fourth Proportional to 10,485, 14,457.48 and 8,089.52

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Solution

The fourth proportional to 10,485, 14,457.48 and 8,089.52 is: 11,154.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485 : 14,457.48 = 8,089.52 : x
  2. Step 2: Convert to fraction form
    10,485/14,457.48 = 8,089.52/x
  3. Step 3: Cross multiply
    10,485x = 14,457.48 × 8,089.52
  4. Step 4: Simplify right side
    10,485x = 116,954,073.61
  5. Step 5: Solve for x
    x = 116,954,073.61/10,485
  6. Step 6: Final answer
    x = 11,154.42

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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.