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Finding the Fourth Proportional to 10,053.66, 15,075 and 4,205.88

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Solution

The fourth proportional to 10,053.66, 15,075 and 4,205.88 is: 6,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.66 : 15,075 = 4,205.88 : x
  2. Step 2: Convert to fraction form
    10,053.66/15,075 = 4,205.88/x
  3. Step 3: Cross multiply
    10,053.66x = 15,075 × 4,205.88
  4. Step 4: Simplify right side
    10,053.66x = 63,403,641
  5. Step 5: Solve for x
    x = 63,403,641/10,053.66
  6. Step 6: Final answer
    x = 6,306.52

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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.