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Finding the Fourth Proportional to 7,056.96, 9,740.16 and 4,263.36

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Solution

The fourth proportional to 7,056.96, 9,740.16 and 4,263.36 is: 5,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.96 : 9,740.16 = 4,263.36 : x
  2. Step 2: Convert to fraction form
    7,056.96/9,740.16 = 4,263.36/x
  3. Step 3: Cross multiply
    7,056.96x = 9,740.16 × 4,263.36
  4. Step 4: Simplify right side
    7,056.96x = 41,525,808.54
  5. Step 5: Solve for x
    x = 41,525,808.54/7,056.96
  6. Step 6: Final answer
    x = 5,884.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.