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Finding the Fourth Proportional to 7,075.87, 9,762.04 and 4,385.86

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Solution

The fourth proportional to 7,075.87, 9,762.04 and 4,385.86 is: 6,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.87 : 9,762.04 = 4,385.86 : x
  2. Step 2: Convert to fraction form
    7,075.87/9,762.04 = 4,385.86/x
  3. Step 3: Cross multiply
    7,075.87x = 9,762.04 × 4,385.86
  4. Step 4: Simplify right side
    7,075.87x = 42,814,940.75
  5. Step 5: Solve for x
    x = 42,814,940.75/7,075.87
  6. Step 6: Final answer
    x = 6,050.84

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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.