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Finding the Fourth Proportional to 28,277.84, 42,416.33 and 6,930.77

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Solution

The fourth proportional to 28,277.84, 42,416.33 and 6,930.77 is: 10,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,277.84 : 42,416.33 = 6,930.77 : x
  2. Step 2: Convert to fraction form
    28,277.84/42,416.33 = 6,930.77/x
  3. Step 3: Cross multiply
    28,277.84x = 42,416.33 × 6,930.77
  4. Step 4: Simplify right side
    28,277.84x = 293,977,580.74
  5. Step 5: Solve for x
    x = 293,977,580.74/28,277.84
  6. Step 6: Final answer
    x = 10,396.04

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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.