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Finding the Fourth Proportional to 8,710.41, 13,065 and 3,783.58

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Solution

The fourth proportional to 8,710.41, 13,065 and 3,783.58 is: 5,675.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.41 : 13,065 = 3,783.58 : x
  2. Step 2: Convert to fraction form
    8,710.41/13,065 = 3,783.58/x
  3. Step 3: Cross multiply
    8,710.41x = 13,065 × 3,783.58
  4. Step 4: Simplify right side
    8,710.41x = 49,432,472.70
  5. Step 5: Solve for x
    x = 49,432,472.70/8,710.41
  6. Step 6: Final answer
    x = 5,675.10

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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.