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Finding the Fourth Proportional to 8,404.56, 11,598.18 and 4,678.56

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Solution

The fourth proportional to 8,404.56, 11,598.18 and 4,678.56 is: 6,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.56 : 11,598.18 = 4,678.56 : x
  2. Step 2: Convert to fraction form
    8,404.56/11,598.18 = 4,678.56/x
  3. Step 3: Cross multiply
    8,404.56x = 11,598.18 × 4,678.56
  4. Step 4: Simplify right side
    8,404.56x = 54,262,781.02
  5. Step 5: Solve for x
    x = 54,262,781.02/8,404.56
  6. Step 6: Final answer
    x = 6,456.35

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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.