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Finding the Fourth Proportional to 7,364.42, 11,038.18 and 3,658.36

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Solution

The fourth proportional to 7,364.42, 11,038.18 and 3,658.36 is: 5,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,364.42 : 11,038.18 = 3,658.36 : x
  2. Step 2: Convert to fraction form
    7,364.42/11,038.18 = 3,658.36/x
  3. Step 3: Cross multiply
    7,364.42x = 11,038.18 × 3,658.36
  4. Step 4: Simplify right side
    7,364.42x = 40,381,636.18
  5. Step 5: Solve for x
    x = 40,381,636.18/7,364.42
  6. Step 6: Final answer
    x = 5,483.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.