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Finding the Fourth Proportional to 8,547.34, 12,826.74 and 3,000.70

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Solution

The fourth proportional to 8,547.34, 12,826.74 and 3,000.70 is: 4,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.34 : 12,826.74 = 3,000.70 : x
  2. Step 2: Convert to fraction form
    8,547.34/12,826.74 = 3,000.70/x
  3. Step 3: Cross multiply
    8,547.34x = 12,826.74 × 3,000.70
  4. Step 4: Simplify right side
    8,547.34x = 38,489,119.58
  5. Step 5: Solve for x
    x = 38,489,119.58/8,547.34
  6. Step 6: Final answer
    x = 4,503.05

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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.