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Finding the Fourth Proportional to 8,484.65, 11,709.45 and 4,708.53

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Solution

The fourth proportional to 8,484.65, 11,709.45 and 4,708.53 is: 6,498.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.65 : 11,709.45 = 4,708.53 : x
  2. Step 2: Convert to fraction form
    8,484.65/11,709.45 = 4,708.53/x
  3. Step 3: Cross multiply
    8,484.65x = 11,709.45 × 4,708.53
  4. Step 4: Simplify right side
    8,484.65x = 55,134,270.36
  5. Step 5: Solve for x
    x = 55,134,270.36/8,484.65
  6. Step 6: Final answer
    x = 6,498.12

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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.