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Finding the Fourth Proportional to 6,075.80, 9,089.40 and 5,263.10

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Solution

The fourth proportional to 6,075.80, 9,089.40 and 5,263.10 is: 7,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.80 : 9,089.40 = 5,263.10 : x
  2. Step 2: Convert to fraction form
    6,075.80/9,089.40 = 5,263.10/x
  3. Step 3: Cross multiply
    6,075.80x = 9,089.40 × 5,263.10
  4. Step 4: Simplify right side
    6,075.80x = 47,838,421.14
  5. Step 5: Solve for x
    x = 47,838,421.14/6,075.80
  6. Step 6: Final answer
    x = 7,873.60

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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.