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Finding the Fourth Proportional to 7,242.64, 9,994.75 and 4,055.94

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Solution

The fourth proportional to 7,242.64, 9,994.75 and 4,055.94 is: 5,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.64 : 9,994.75 = 4,055.94 : x
  2. Step 2: Convert to fraction form
    7,242.64/9,994.75 = 4,055.94/x
  3. Step 3: Cross multiply
    7,242.64x = 9,994.75 × 4,055.94
  4. Step 4: Simplify right side
    7,242.64x = 40,538,096.18
  5. Step 5: Solve for x
    x = 40,538,096.18/7,242.64
  6. Step 6: Final answer
    x = 5,597.15

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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.