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Finding the Fourth Proportional to 10,356.02, 15,532.95 and 2,960

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Solution

The fourth proportional to 10,356.02, 15,532.95 and 2,960 is: 4,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.02 : 15,532.95 = 2,960 : x
  2. Step 2: Convert to fraction form
    10,356.02/15,532.95 = 2,960/x
  3. Step 3: Cross multiply
    10,356.02x = 15,532.95 × 2,960
  4. Step 4: Simplify right side
    10,356.02x = 45,977,532
  5. Step 5: Solve for x
    x = 45,977,532/10,356.02
  6. Step 6: Final answer
    x = 4,439.69

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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.