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Finding the Fourth Proportional to 10,730.12, 16,095.18 and 3,803

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Solution

The fourth proportional to 10,730.12, 16,095.18 and 3,803 is: 5,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.12 : 16,095.18 = 3,803 : x
  2. Step 2: Convert to fraction form
    10,730.12/16,095.18 = 3,803/x
  3. Step 3: Cross multiply
    10,730.12x = 16,095.18 × 3,803
  4. Step 4: Simplify right side
    10,730.12x = 61,209,969.54
  5. Step 5: Solve for x
    x = 61,209,969.54/10,730.12
  6. Step 6: Final answer
    x = 5,704.50

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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.