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Finding the Fourth Proportional to 10,614.42, 15,905.01 and 6,710.64

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Solution

The fourth proportional to 10,614.42, 15,905.01 and 6,710.64 is: 10,055.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.42 : 15,905.01 = 6,710.64 : x
  2. Step 2: Convert to fraction form
    10,614.42/15,905.01 = 6,710.64/x
  3. Step 3: Cross multiply
    10,614.42x = 15,905.01 × 6,710.64
  4. Step 4: Simplify right side
    10,614.42x = 106,732,796.31
  5. Step 5: Solve for x
    x = 106,732,796.31/10,614.42
  6. Step 6: Final answer
    x = 10,055.45

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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.