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Finding the Fourth Proportional to 10,907.02, 16,358.28 and 3,114.10

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Solution

The fourth proportional to 10,907.02, 16,358.28 and 3,114.10 is: 4,670.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.02 : 16,358.28 = 3,114.10 : x
  2. Step 2: Convert to fraction form
    10,907.02/16,358.28 = 3,114.10/x
  3. Step 3: Cross multiply
    10,907.02x = 16,358.28 × 3,114.10
  4. Step 4: Simplify right side
    10,907.02x = 50,941,319.75
  5. Step 5: Solve for x
    x = 50,941,319.75/10,907.02
  6. Step 6: Final answer
    x = 4,670.51

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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.