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Finding the Fourth Proportional to 10,567.74, 14,583.93 and 5,852.02

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Solution

The fourth proportional to 10,567.74, 14,583.93 and 5,852.02 is: 8,076.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,567.74 : 14,583.93 = 5,852.02 : x
  2. Step 2: Convert to fraction form
    10,567.74/14,583.93 = 5,852.02/x
  3. Step 3: Cross multiply
    10,567.74x = 14,583.93 × 5,852.02
  4. Step 4: Simplify right side
    10,567.74x = 85,345,413.58
  5. Step 5: Solve for x
    x = 85,345,413.58/10,567.74
  6. Step 6: Final answer
    x = 8,076.04

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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.