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Finding the Fourth Proportional to 9,533.53, 13,156.28 and 5,807.53

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Solution

The fourth proportional to 9,533.53, 13,156.28 and 5,807.53 is: 8,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.53 : 13,156.28 = 5,807.53 : x
  2. Step 2: Convert to fraction form
    9,533.53/13,156.28 = 5,807.53/x
  3. Step 3: Cross multiply
    9,533.53x = 13,156.28 × 5,807.53
  4. Step 4: Simplify right side
    9,533.53x = 76,405,489.09
  5. Step 5: Solve for x
    x = 76,405,489.09/9,533.53
  6. Step 6: Final answer
    x = 8,014.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.