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Finding the Fourth Proportional to 8,484.35, 11,714.48 and 5,658.40

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Solution

The fourth proportional to 8,484.35, 11,714.48 and 5,658.40 is: 7,812.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.35 : 11,714.48 = 5,658.40 : x
  2. Step 2: Convert to fraction form
    8,484.35/11,714.48 = 5,658.40/x
  3. Step 3: Cross multiply
    8,484.35x = 11,714.48 × 5,658.40
  4. Step 4: Simplify right side
    8,484.35x = 66,285,126.77
  5. Step 5: Solve for x
    x = 66,285,126.77/8,484.35
  6. Step 6: Final answer
    x = 7,812.63

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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.