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Finding the Fourth Proportional to 7,075.76, 10,613.72 and 2,458.80

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Solution

The fourth proportional to 7,075.76, 10,613.72 and 2,458.80 is: 3,688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.76 : 10,613.72 = 2,458.80 : x
  2. Step 2: Convert to fraction form
    7,075.76/10,613.72 = 2,458.80/x
  3. Step 3: Cross multiply
    7,075.76x = 10,613.72 × 2,458.80
  4. Step 4: Simplify right side
    7,075.76x = 26,097,014.74
  5. Step 5: Solve for x
    x = 26,097,014.74/7,075.76
  6. Step 6: Final answer
    x = 3,688.23

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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.