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Finding the Fourth Proportional to 7,830.37, 11,750.80 and 2,900.05

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Solution

The fourth proportional to 7,830.37, 11,750.80 and 2,900.05 is: 4,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.37 : 11,750.80 = 2,900.05 : x
  2. Step 2: Convert to fraction form
    7,830.37/11,750.80 = 2,900.05/x
  3. Step 3: Cross multiply
    7,830.37x = 11,750.80 × 2,900.05
  4. Step 4: Simplify right side
    7,830.37x = 34,077,934.29
  5. Step 5: Solve for x
    x = 34,077,934.29/7,830.37
  6. Step 6: Final answer
    x = 4,352.02

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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.