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Finding the Fourth Proportional to 12,856.56, 19,281 and 4,535

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Solution

The fourth proportional to 12,856.56, 19,281 and 4,535 is: 6,801.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.56 : 19,281 = 4,535 : x
  2. Step 2: Convert to fraction form
    12,856.56/19,281 = 4,535/x
  3. Step 3: Cross multiply
    12,856.56x = 19,281 × 4,535
  4. Step 4: Simplify right side
    12,856.56x = 87,439,335
  5. Step 5: Solve for x
    x = 87,439,335/12,856.56
  6. Step 6: Final answer
    x = 6,801.15

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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.