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Finding the Fourth Proportional to 8,320.32, 11,464.74 and 5,663.12

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Solution

The fourth proportional to 8,320.32, 11,464.74 and 5,663.12 is: 7,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,320.32 : 11,464.74 = 5,663.12 : x
  2. Step 2: Convert to fraction form
    8,320.32/11,464.74 = 5,663.12/x
  3. Step 3: Cross multiply
    8,320.32x = 11,464.74 × 5,663.12
  4. Step 4: Simplify right side
    8,320.32x = 64,926,141.07
  5. Step 5: Solve for x
    x = 64,926,141.07/8,320.32
  6. Step 6: Final answer
    x = 7,803.32

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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.