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Finding the Fourth Proportional to 10,854.84, 16,283.44 and 3,457.56

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Solution

The fourth proportional to 10,854.84, 16,283.44 and 3,457.56 is: 5,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.84 : 16,283.44 = 3,457.56 : x
  2. Step 2: Convert to fraction form
    10,854.84/16,283.44 = 3,457.56/x
  3. Step 3: Cross multiply
    10,854.84x = 16,283.44 × 3,457.56
  4. Step 4: Simplify right side
    10,854.84x = 56,300,970.81
  5. Step 5: Solve for x
    x = 56,300,970.81/10,854.84
  6. Step 6: Final answer
    x = 5,186.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.