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Finding the Fourth Proportional to 10,451.55, 14,428.77 and 8,073.84

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Solution

The fourth proportional to 10,451.55, 14,428.77 and 8,073.84 is: 11,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.55 : 14,428.77 = 8,073.84 : x
  2. Step 2: Convert to fraction form
    10,451.55/14,428.77 = 8,073.84/x
  3. Step 3: Cross multiply
    10,451.55x = 14,428.77 × 8,073.84
  4. Step 4: Simplify right side
    10,451.55x = 116,495,580.38
  5. Step 5: Solve for x
    x = 116,495,580.38/10,451.55
  6. Step 6: Final answer
    x = 11,146.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.