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Finding the Fourth Proportional to 10,335.64, 15,494.01 and 4,490.14

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Solution

The fourth proportional to 10,335.64, 15,494.01 and 4,490.14 is: 6,731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.64 : 15,494.01 = 4,490.14 : x
  2. Step 2: Convert to fraction form
    10,335.64/15,494.01 = 4,490.14/x
  3. Step 3: Cross multiply
    10,335.64x = 15,494.01 × 4,490.14
  4. Step 4: Simplify right side
    10,335.64x = 69,570,274.06
  5. Step 5: Solve for x
    x = 69,570,274.06/10,335.64
  6. Step 6: Final answer
    x = 6,731.10

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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.