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Finding the Fourth Proportional to 7,041.69, 10,564.16 and 2,362.32

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Solution

The fourth proportional to 7,041.69, 10,564.16 and 2,362.32 is: 3,544.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,041.69 : 10,564.16 = 2,362.32 : x
  2. Step 2: Convert to fraction form
    7,041.69/10,564.16 = 2,362.32/x
  3. Step 3: Cross multiply
    7,041.69x = 10,564.16 × 2,362.32
  4. Step 4: Simplify right side
    7,041.69x = 24,955,914.64
  5. Step 5: Solve for x
    x = 24,955,914.64/7,041.69
  6. Step 6: Final answer
    x = 3,544.02

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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.