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Finding the Fourth Proportional to 7,547.94, 10,413.30 and 5,563.24

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Solution

The fourth proportional to 7,547.94, 10,413.30 and 5,563.24 is: 7,675.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.94 : 10,413.30 = 5,563.24 : x
  2. Step 2: Convert to fraction form
    7,547.94/10,413.30 = 5,563.24/x
  3. Step 3: Cross multiply
    7,547.94x = 10,413.30 × 5,563.24
  4. Step 4: Simplify right side
    7,547.94x = 57,931,687.09
  5. Step 5: Solve for x
    x = 57,931,687.09/7,547.94
  6. Step 6: Final answer
    x = 7,675.17

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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.