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Finding the Fourth Proportional to 7,242.96, 9,994.98 and 4,056

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Solution

The fourth proportional to 7,242.96, 9,994.98 and 4,056 is: 5,597.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.96 : 9,994.98 = 4,056 : x
  2. Step 2: Convert to fraction form
    7,242.96/9,994.98 = 4,056/x
  3. Step 3: Cross multiply
    7,242.96x = 9,994.98 × 4,056
  4. Step 4: Simplify right side
    7,242.96x = 40,539,638.88
  5. Step 5: Solve for x
    x = 40,539,638.88/7,242.96
  6. Step 6: Final answer
    x = 5,597.11

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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.