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Finding the Fourth Proportional to 10,830.51, 16,243.94 and 3,037.50

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Solution

The fourth proportional to 10,830.51, 16,243.94 and 3,037.50 is: 4,555.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.51 : 16,243.94 = 3,037.50 : x
  2. Step 2: Convert to fraction form
    10,830.51/16,243.94 = 3,037.50/x
  3. Step 3: Cross multiply
    10,830.51x = 16,243.94 × 3,037.50
  4. Step 4: Simplify right side
    10,830.51x = 49,340,975.34
  5. Step 5: Solve for x
    x = 49,340,975.34/10,830.51
  6. Step 6: Final answer
    x = 4,555.74

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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.