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Finding the Fourth Proportional to 10,783.70, 16,176.31 and 2,886.20

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Solution

The fourth proportional to 10,783.70, 16,176.31 and 2,886.20 is: 4,329.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.70 : 16,176.31 = 2,886.20 : x
  2. Step 2: Convert to fraction form
    10,783.70/16,176.31 = 2,886.20/x
  3. Step 3: Cross multiply
    10,783.70x = 16,176.31 × 2,886.20
  4. Step 4: Simplify right side
    10,783.70x = 46,688,038.49
  5. Step 5: Solve for x
    x = 46,688,038.49/10,783.70
  6. Step 6: Final answer
    x = 4,329.50

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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.