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Finding the Fourth Proportional to 10,830.11, 16,241.85 and 4,590

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Solution

The fourth proportional to 10,830.11, 16,241.85 and 4,590 is: 6,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.11 : 16,241.85 = 4,590 : x
  2. Step 2: Convert to fraction form
    10,830.11/16,241.85 = 4,590/x
  3. Step 3: Cross multiply
    10,830.11x = 16,241.85 × 4,590
  4. Step 4: Simplify right side
    10,830.11x = 74,550,091.50
  5. Step 5: Solve for x
    x = 74,550,091.50/10,830.11
  6. Step 6: Final answer
    x = 6,883.60

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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.