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Finding the Fourth Proportional to 10,377.95, 15,573 and 3,804.60

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Solution

The fourth proportional to 10,377.95, 15,573 and 3,804.60 is: 5,709.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.95 : 15,573 = 3,804.60 : x
  2. Step 2: Convert to fraction form
    10,377.95/15,573 = 3,804.60/x
  3. Step 3: Cross multiply
    10,377.95x = 15,573 × 3,804.60
  4. Step 4: Simplify right side
    10,377.95x = 59,249,035.80
  5. Step 5: Solve for x
    x = 59,249,035.80/10,377.95
  6. Step 6: Final answer
    x = 5,709.13

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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.