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Finding the Fourth Proportional to 7,340.95, 10,128.05 and 4,153.80

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Solution

The fourth proportional to 7,340.95, 10,128.05 and 4,153.80 is: 5,730.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.95 : 10,128.05 = 4,153.80 : x
  2. Step 2: Convert to fraction form
    7,340.95/10,128.05 = 4,153.80/x
  3. Step 3: Cross multiply
    7,340.95x = 10,128.05 × 4,153.80
  4. Step 4: Simplify right side
    7,340.95x = 42,069,894.09
  5. Step 5: Solve for x
    x = 42,069,894.09/7,340.95
  6. Step 6: Final answer
    x = 5,730.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.