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Finding the Fourth Proportional to 7,075.96, 10,613.83 and 1,810.92

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Solution

The fourth proportional to 7,075.96, 10,613.83 and 1,810.92 is: 2,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.96 : 10,613.83 = 1,810.92 : x
  2. Step 2: Convert to fraction form
    7,075.96/10,613.83 = 1,810.92/x
  3. Step 3: Cross multiply
    7,075.96x = 10,613.83 × 1,810.92
  4. Step 4: Simplify right side
    7,075.96x = 19,220,792.50
  5. Step 5: Solve for x
    x = 19,220,792.50/7,075.96
  6. Step 6: Final answer
    x = 2,716.35

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Why These Related Problems?

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