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Finding the Fourth Proportional to 10,973.03, 16,455.46 and 3,951.14

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Solution

The fourth proportional to 10,973.03, 16,455.46 and 3,951.14 is: 5,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.03 : 16,455.46 = 3,951.14 : x
  2. Step 2: Convert to fraction form
    10,973.03/16,455.46 = 3,951.14/x
  3. Step 3: Cross multiply
    10,973.03x = 16,455.46 × 3,951.14
  4. Step 4: Simplify right side
    10,973.03x = 65,017,826.22
  5. Step 5: Solve for x
    x = 65,017,826.22/10,973.03
  6. Step 6: Final answer
    x = 5,925.24

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Why These Related Problems?

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