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Finding the Fourth Proportional to 8,575.74, 12,885.14 and 5,457.10

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Solution

The fourth proportional to 8,575.74, 12,885.14 and 5,457.10 is: 8,199.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.74 : 12,885.14 = 5,457.10 : x
  2. Step 2: Convert to fraction form
    8,575.74/12,885.14 = 5,457.10/x
  3. Step 3: Cross multiply
    8,575.74x = 12,885.14 × 5,457.10
  4. Step 4: Simplify right side
    8,575.74x = 70,315,470.21
  5. Step 5: Solve for x
    x = 70,315,470.21/8,575.74
  6. Step 6: Final answer
    x = 8,199.35

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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.