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Finding the Fourth Proportional to 10,555.62, 15,827.56 and 4,320

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Solution

The fourth proportional to 10,555.62, 15,827.56 and 4,320 is: 6,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.62 : 15,827.56 = 4,320 : x
  2. Step 2: Convert to fraction form
    10,555.62/15,827.56 = 4,320/x
  3. Step 3: Cross multiply
    10,555.62x = 15,827.56 × 4,320
  4. Step 4: Simplify right side
    10,555.62x = 68,375,059.20
  5. Step 5: Solve for x
    x = 68,375,059.20/10,555.62
  6. Step 6: Final answer
    x = 6,477.60

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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.