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Finding the Fourth Proportional to 8,575.10, 12,862.65 and 2,419.10

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Solution

The fourth proportional to 8,575.10, 12,862.65 and 2,419.10 is: 3,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.10 : 12,862.65 = 2,419.10 : x
  2. Step 2: Convert to fraction form
    8,575.10/12,862.65 = 2,419.10/x
  3. Step 3: Cross multiply
    8,575.10x = 12,862.65 × 2,419.10
  4. Step 4: Simplify right side
    8,575.10x = 31,116,036.62
  5. Step 5: Solve for x
    x = 31,116,036.62/8,575.10
  6. Step 6: Final answer
    x = 3,628.65

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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.