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Finding the Fourth Proportional to 10,410.50, 15,606.48 and 3,835.10

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Solution

The fourth proportional to 10,410.50, 15,606.48 and 3,835.10 is: 5,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.50 : 15,606.48 = 3,835.10 : x
  2. Step 2: Convert to fraction form
    10,410.50/15,606.48 = 3,835.10/x
  3. Step 3: Cross multiply
    10,410.50x = 15,606.48 × 3,835.10
  4. Step 4: Simplify right side
    10,410.50x = 59,852,411.45
  5. Step 5: Solve for x
    x = 59,852,411.45/10,410.50
  6. Step 6: Final answer
    x = 5,749.24

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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.