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Finding the Fourth Proportional to 10,433.66, 15,652.02 and 3,037.14

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Solution

The fourth proportional to 10,433.66, 15,652.02 and 3,037.14 is: 4,556.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.66 : 15,652.02 = 3,037.14 : x
  2. Step 2: Convert to fraction form
    10,433.66/15,652.02 = 3,037.14/x
  3. Step 3: Cross multiply
    10,433.66x = 15,652.02 × 3,037.14
  4. Step 4: Simplify right side
    10,433.66x = 47,537,376.02
  5. Step 5: Solve for x
    x = 47,537,376.02/10,433.66
  6. Step 6: Final answer
    x = 4,556.16

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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.