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Finding the Fourth Proportional to 7,510.80, 10,365.65 and 4,153.86

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Solution

The fourth proportional to 7,510.80, 10,365.65 and 4,153.86 is: 5,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.80 : 10,365.65 = 4,153.86 : x
  2. Step 2: Convert to fraction form
    7,510.80/10,365.65 = 4,153.86/x
  3. Step 3: Cross multiply
    7,510.80x = 10,365.65 × 4,153.86
  4. Step 4: Simplify right side
    7,510.80x = 43,057,458.91
  5. Step 5: Solve for x
    x = 43,057,458.91/7,510.80
  6. Step 6: Final answer
    x = 5,732.74

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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.