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Finding the Fourth Proportional to 10,464.53, 15,697.24 and 5,202.06

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Solution

The fourth proportional to 10,464.53, 15,697.24 and 5,202.06 is: 7,803.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.53 : 15,697.24 = 5,202.06 : x
  2. Step 2: Convert to fraction form
    10,464.53/15,697.24 = 5,202.06/x
  3. Step 3: Cross multiply
    10,464.53x = 15,697.24 × 5,202.06
  4. Step 4: Simplify right side
    10,464.53x = 81,657,941.71
  5. Step 5: Solve for x
    x = 81,657,941.71/10,464.53
  6. Step 6: Final answer
    x = 7,803.31

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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.