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Finding the Fourth Proportional to 10,533.80, 15,792.70 and 5,343.40

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Solution

The fourth proportional to 10,533.80, 15,792.70 and 5,343.40 is: 8,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.80 : 15,792.70 = 5,343.40 : x
  2. Step 2: Convert to fraction form
    10,533.80/15,792.70 = 5,343.40/x
  3. Step 3: Cross multiply
    10,533.80x = 15,792.70 × 5,343.40
  4. Step 4: Simplify right side
    10,533.80x = 84,386,713.18
  5. Step 5: Solve for x
    x = 84,386,713.18/10,533.80
  6. Step 6: Final answer
    x = 8,011.04

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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.