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Finding the Fourth Proportional to 7,856.60, 11,784.90 and 7,554.20

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Solution

The fourth proportional to 7,856.60, 11,784.90 and 7,554.20 is: 11,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.60 : 11,784.90 = 7,554.20 : x
  2. Step 2: Convert to fraction form
    7,856.60/11,784.90 = 7,554.20/x
  3. Step 3: Cross multiply
    7,856.60x = 11,784.90 × 7,554.20
  4. Step 4: Simplify right side
    7,856.60x = 89,025,491.58
  5. Step 5: Solve for x
    x = 89,025,491.58/7,856.60
  6. Step 6: Final answer
    x = 11,331.30

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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.