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Finding the Fourth Proportional to 7,047.09, 10,567.80 and 4,578.21

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Solution

The fourth proportional to 7,047.09, 10,567.80 and 4,578.21 is: 6,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.09 : 10,567.80 = 4,578.21 : x
  2. Step 2: Convert to fraction form
    7,047.09/10,567.80 = 4,578.21/x
  3. Step 3: Cross multiply
    7,047.09x = 10,567.80 × 4,578.21
  4. Step 4: Simplify right side
    7,047.09x = 48,381,607.64
  5. Step 5: Solve for x
    x = 48,381,607.64/7,047.09
  6. Step 6: Final answer
    x = 6,865.47

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