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Finding the Fourth Proportional to 10,870.89, 16,285.59 and 5,860.83

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Solution

The fourth proportional to 10,870.89, 16,285.59 and 5,860.83 is: 8,780.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,870.89 : 16,285.59 = 5,860.83 : x
  2. Step 2: Convert to fraction form
    10,870.89/16,285.59 = 5,860.83/x
  3. Step 3: Cross multiply
    10,870.89x = 16,285.59 × 5,860.83
  4. Step 4: Simplify right side
    10,870.89x = 95,447,135.51
  5. Step 5: Solve for x
    x = 95,447,135.51/10,870.89
  6. Step 6: Final answer
    x = 8,780.07

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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.