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Finding the Fourth Proportional to 11,520.64, 17,280.93 and 4,600

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Solution

The fourth proportional to 11,520.64, 17,280.93 and 4,600 is: 6,899.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,520.64 : 17,280.93 = 4,600 : x
  2. Step 2: Convert to fraction form
    11,520.64/17,280.93 = 4,600/x
  3. Step 3: Cross multiply
    11,520.64x = 17,280.93 × 4,600
  4. Step 4: Simplify right side
    11,520.64x = 79,492,278
  5. Step 5: Solve for x
    x = 79,492,278/11,520.64
  6. Step 6: Final answer
    x = 6,899.99

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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.