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Finding the Fourth Proportional to 8,364.06, 11,542.16 and 4,587.10

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Solution

The fourth proportional to 8,364.06, 11,542.16 and 4,587.10 is: 6,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.06 : 11,542.16 = 4,587.10 : x
  2. Step 2: Convert to fraction form
    8,364.06/11,542.16 = 4,587.10/x
  3. Step 3: Cross multiply
    8,364.06x = 11,542.16 × 4,587.10
  4. Step 4: Simplify right side
    8,364.06x = 52,945,024.75
  5. Step 5: Solve for x
    x = 52,945,024.75/8,364.06
  6. Step 6: Final answer
    x = 6,330.06

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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.