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Finding the Fourth Proportional to 10,435.95, 15,654 and 3,510.45

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Solution

The fourth proportional to 10,435.95, 15,654 and 3,510.45 is: 5,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.95 : 15,654 = 3,510.45 : x
  2. Step 2: Convert to fraction form
    10,435.95/15,654 = 3,510.45/x
  3. Step 3: Cross multiply
    10,435.95x = 15,654 × 3,510.45
  4. Step 4: Simplify right side
    10,435.95x = 54,952,584.30
  5. Step 5: Solve for x
    x = 54,952,584.30/10,435.95
  6. Step 6: Final answer
    x = 5,265.70

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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.