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Finding the Fourth Proportional to 35,206.35, 52,809.75 and 8,911.16

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Solution

The fourth proportional to 35,206.35, 52,809.75 and 8,911.16 is: 13,366.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,206.35 : 52,809.75 = 8,911.16 : x
  2. Step 2: Convert to fraction form
    35,206.35/52,809.75 = 8,911.16/x
  3. Step 3: Cross multiply
    35,206.35x = 52,809.75 × 8,911.16
  4. Step 4: Simplify right side
    35,206.35x = 470,596,337.79
  5. Step 5: Solve for x
    x = 470,596,337.79/35,206.35
  6. Step 6: Final answer
    x = 13,366.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.