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Finding the Fourth Proportional to 11,856.64, 17,784.90 and 4,836.62

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Solution

The fourth proportional to 11,856.64, 17,784.90 and 4,836.62 is: 7,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,856.64 : 17,784.90 = 4,836.62 : x
  2. Step 2: Convert to fraction form
    11,856.64/17,784.90 = 4,836.62/x
  3. Step 3: Cross multiply
    11,856.64x = 17,784.90 × 4,836.62
  4. Step 4: Simplify right side
    11,856.64x = 86,018,803.04
  5. Step 5: Solve for x
    x = 86,018,803.04/11,856.64
  6. Step 6: Final answer
    x = 7,254.91

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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.