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Finding the Fourth Proportional to 8,894.96, 13,338.53 and 4,733.98

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Solution

The fourth proportional to 8,894.96, 13,338.53 and 4,733.98 is: 7,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.96 : 13,338.53 = 4,733.98 : x
  2. Step 2: Convert to fraction form
    8,894.96/13,338.53 = 4,733.98/x
  3. Step 3: Cross multiply
    8,894.96x = 13,338.53 × 4,733.98
  4. Step 4: Simplify right side
    8,894.96x = 63,144,334.25
  5. Step 5: Solve for x
    x = 63,144,334.25/8,894.96
  6. Step 6: Final answer
    x = 7,098.89

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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.