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Finding the Fourth Proportional to 7,547.22, 10,413.06 and 4,717.44

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Solution

The fourth proportional to 7,547.22, 10,413.06 and 4,717.44 is: 6,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.22 : 10,413.06 = 4,717.44 : x
  2. Step 2: Convert to fraction form
    7,547.22/10,413.06 = 4,717.44/x
  3. Step 3: Cross multiply
    7,547.22x = 10,413.06 × 4,717.44
  4. Step 4: Simplify right side
    7,547.22x = 49,122,985.77
  5. Step 5: Solve for x
    x = 49,122,985.77/7,547.22
  6. Step 6: Final answer
    x = 6,508.75

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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.