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Finding the Fourth Proportional to 8,475.84, 11,696.81 and 4,699.01

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Solution

The fourth proportional to 8,475.84, 11,696.81 and 4,699.01 is: 6,484.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,475.84 : 11,696.81 = 4,699.01 : x
  2. Step 2: Convert to fraction form
    8,475.84/11,696.81 = 4,699.01/x
  3. Step 3: Cross multiply
    8,475.84x = 11,696.81 × 4,699.01
  4. Step 4: Simplify right side
    8,475.84x = 54,963,432.91
  5. Step 5: Solve for x
    x = 54,963,432.91/8,475.84
  6. Step 6: Final answer
    x = 6,484.72

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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.