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Finding the Fourth Proportional to 11,520.64, 17,283.52 and 3,312

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Solution

The fourth proportional to 11,520.64, 17,283.52 and 3,312 is: 4,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.64 : 17,283.52 = 3,312 : x
  2. Step 2: Convert to fraction form
    11,520.64/17,283.52 = 3,312/x
  3. Step 3: Cross multiply
    11,520.64x = 17,283.52 × 3,312
  4. Step 4: Simplify right side
    11,520.64x = 57,243,018.24
  5. Step 5: Solve for x
    x = 57,243,018.24/11,520.64
  6. Step 6: Final answer
    x = 4,968.74

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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.