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Finding the Fourth Proportional to 8,570.19, 12,856.14 and 2,646.84

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Solution

The fourth proportional to 8,570.19, 12,856.14 and 2,646.84 is: 3,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.19 : 12,856.14 = 2,646.84 : x
  2. Step 2: Convert to fraction form
    8,570.19/12,856.14 = 2,646.84/x
  3. Step 3: Cross multiply
    8,570.19x = 12,856.14 × 2,646.84
  4. Step 4: Simplify right side
    8,570.19x = 34,028,147.02
  5. Step 5: Solve for x
    x = 34,028,147.02/8,570.19
  6. Step 6: Final answer
    x = 3,970.52

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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.