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Finding the Fourth Proportional to 7,358.84, 10,154.88 and 4,214.96

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Solution

The fourth proportional to 7,358.84, 10,154.88 and 4,214.96 is: 5,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,358.84 : 10,154.88 = 4,214.96 : x
  2. Step 2: Convert to fraction form
    7,358.84/10,154.88 = 4,214.96/x
  3. Step 3: Cross multiply
    7,358.84x = 10,154.88 × 4,214.96
  4. Step 4: Simplify right side
    7,358.84x = 42,802,413.00
  5. Step 5: Solve for x
    x = 42,802,413.00/7,358.84
  6. Step 6: Final answer
    x = 5,816.46

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