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Finding the Fourth Proportional to 7,330.95, 11,007.42 and 4,214.46

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Solution

The fourth proportional to 7,330.95, 11,007.42 and 4,214.46 is: 6,328.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.95 : 11,007.42 = 4,214.46 : x
  2. Step 2: Convert to fraction form
    7,330.95/11,007.42 = 4,214.46/x
  3. Step 3: Cross multiply
    7,330.95x = 11,007.42 × 4,214.46
  4. Step 4: Simplify right side
    7,330.95x = 46,390,331.29
  5. Step 5: Solve for x
    x = 46,390,331.29/7,330.95
  6. Step 6: Final answer
    x = 6,328.01

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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.