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Finding the Fourth Proportional to 10,537.83, 15,804.99 and 3,522.69

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Solution

The fourth proportional to 10,537.83, 15,804.99 and 3,522.69 is: 5,283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,537.83 : 15,804.99 = 3,522.69 : x
  2. Step 2: Convert to fraction form
    10,537.83/15,804.99 = 3,522.69/x
  3. Step 3: Cross multiply
    10,537.83x = 15,804.99 × 3,522.69
  4. Step 4: Simplify right side
    10,537.83x = 55,676,080.22
  5. Step 5: Solve for x
    x = 55,676,080.22/10,537.83
  6. Step 6: Final answer
    x = 5,283.45

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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.