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Finding the Fourth Proportional to 8,532.24, 11,774.02 and 4,703.76

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Solution

The fourth proportional to 8,532.24, 11,774.02 and 4,703.76 is: 6,490.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.24 : 11,774.02 = 4,703.76 : x
  2. Step 2: Convert to fraction form
    8,532.24/11,774.02 = 4,703.76/x
  3. Step 3: Cross multiply
    8,532.24x = 11,774.02 × 4,703.76
  4. Step 4: Simplify right side
    8,532.24x = 55,382,164.32
  5. Step 5: Solve for x
    x = 55,382,164.32/8,532.24
  6. Step 6: Final answer
    x = 6,490.93

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