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Finding the Fourth Proportional to 10,215.64, 15,325.86 and 3,290.14

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Solution

The fourth proportional to 10,215.64, 15,325.86 and 3,290.14 is: 4,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.64 : 15,325.86 = 3,290.14 : x
  2. Step 2: Convert to fraction form
    10,215.64/15,325.86 = 3,290.14/x
  3. Step 3: Cross multiply
    10,215.64x = 15,325.86 × 3,290.14
  4. Step 4: Simplify right side
    10,215.64x = 50,424,225.02
  5. Step 5: Solve for x
    x = 50,424,225.02/10,215.64
  6. Step 6: Final answer
    x = 4,935.98

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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.