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Finding the Fourth Proportional to 8,288.66, 11,434.52 and 5,303

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Solution

The fourth proportional to 8,288.66, 11,434.52 and 5,303 is: 7,315.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.66 : 11,434.52 = 5,303 : x
  2. Step 2: Convert to fraction form
    8,288.66/11,434.52 = 5,303/x
  3. Step 3: Cross multiply
    8,288.66x = 11,434.52 × 5,303
  4. Step 4: Simplify right side
    8,288.66x = 60,637,259.56
  5. Step 5: Solve for x
    x = 60,637,259.56/8,288.66
  6. Step 6: Final answer
    x = 7,315.69

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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.