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Finding the Fourth Proportional to 10,075.80, 15,113.70 and 6,182.40

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Solution

The fourth proportional to 10,075.80, 15,113.70 and 6,182.40 is: 9,273.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.80 : 15,113.70 = 6,182.40 : x
  2. Step 2: Convert to fraction form
    10,075.80/15,113.70 = 6,182.40/x
  3. Step 3: Cross multiply
    10,075.80x = 15,113.70 × 6,182.40
  4. Step 4: Simplify right side
    10,075.80x = 93,438,938.88
  5. Step 5: Solve for x
    x = 93,438,938.88/10,075.80
  6. Step 6: Final answer
    x = 9,273.60

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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.