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Finding the Fourth Proportional to 7,607.67, 11,411.91 and 2,413.95

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Solution

The fourth proportional to 7,607.67, 11,411.91 and 2,413.95 is: 3,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.67 : 11,411.91 = 2,413.95 : x
  2. Step 2: Convert to fraction form
    7,607.67/11,411.91 = 2,413.95/x
  3. Step 3: Cross multiply
    7,607.67x = 11,411.91 × 2,413.95
  4. Step 4: Simplify right side
    7,607.67x = 27,547,780.14
  5. Step 5: Solve for x
    x = 27,547,780.14/7,607.67
  6. Step 6: Final answer
    x = 3,621.05

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Why These Related Problems?

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