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Finding the Fourth Proportional to 10,646.38, 15,966.30 and 3,719.26

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Solution

The fourth proportional to 10,646.38, 15,966.30 and 3,719.26 is: 5,577.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.38 : 15,966.30 = 3,719.26 : x
  2. Step 2: Convert to fraction form
    10,646.38/15,966.30 = 3,719.26/x
  3. Step 3: Cross multiply
    10,646.38x = 15,966.30 × 3,719.26
  4. Step 4: Simplify right side
    10,646.38x = 59,382,820.94
  5. Step 5: Solve for x
    x = 59,382,820.94/10,646.38
  6. Step 6: Final answer
    x = 5,577.75

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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.