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Finding the Fourth Proportional to 8,049.07, 12,075.59 and 6,503.10

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Solution

The fourth proportional to 8,049.07, 12,075.59 and 6,503.10 is: 9,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.07 : 12,075.59 = 6,503.10 : x
  2. Step 2: Convert to fraction form
    8,049.07/12,075.59 = 6,503.10/x
  3. Step 3: Cross multiply
    8,049.07x = 12,075.59 × 6,503.10
  4. Step 4: Simplify right side
    8,049.07x = 78,528,769.33
  5. Step 5: Solve for x
    x = 78,528,769.33/8,049.07
  6. Step 6: Final answer
    x = 9,756.25

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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.