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Finding the Fourth Proportional to 10,552.60, 15,828.90 and 6,834.70

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Solution

The fourth proportional to 10,552.60, 15,828.90 and 6,834.70 is: 10,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.60 : 15,828.90 = 6,834.70 : x
  2. Step 2: Convert to fraction form
    10,552.60/15,828.90 = 6,834.70/x
  3. Step 3: Cross multiply
    10,552.60x = 15,828.90 × 6,834.70
  4. Step 4: Simplify right side
    10,552.60x = 108,185,782.83
  5. Step 5: Solve for x
    x = 108,185,782.83/10,552.60
  6. Step 6: Final answer
    x = 10,252.05

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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.