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Finding the Fourth Proportional to 10,075.72, 15,107.64 and 3,053.60

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Solution

The fourth proportional to 10,075.72, 15,107.64 and 3,053.60 is: 4,578.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.72 : 15,107.64 = 3,053.60 : x
  2. Step 2: Convert to fraction form
    10,075.72/15,107.64 = 3,053.60/x
  3. Step 3: Cross multiply
    10,075.72x = 15,107.64 × 3,053.60
  4. Step 4: Simplify right side
    10,075.72x = 46,132,689.50
  5. Step 5: Solve for x
    x = 46,132,689.50/10,075.72
  6. Step 6: Final answer
    x = 4,578.60

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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.