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Finding the Fourth Proportional to 8,539.66, 12,808.53 and 2,300.13

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Solution

The fourth proportional to 8,539.66, 12,808.53 and 2,300.13 is: 3,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.66 : 12,808.53 = 2,300.13 : x
  2. Step 2: Convert to fraction form
    8,539.66/12,808.53 = 2,300.13/x
  3. Step 3: Cross multiply
    8,539.66x = 12,808.53 × 2,300.13
  4. Step 4: Simplify right side
    8,539.66x = 29,461,278.36
  5. Step 5: Solve for x
    x = 29,461,278.36/8,539.66
  6. Step 6: Final answer
    x = 3,449.94

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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.