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Finding the Fourth Proportional to 7,509.80, 10,364.27 and 4,152.86

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Solution

The fourth proportional to 7,509.80, 10,364.27 and 4,152.86 is: 5,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.80 : 10,364.27 = 4,152.86 : x
  2. Step 2: Convert to fraction form
    7,509.80/10,364.27 = 4,152.86/x
  3. Step 3: Cross multiply
    7,509.80x = 10,364.27 × 4,152.86
  4. Step 4: Simplify right side
    7,509.80x = 43,041,362.31
  5. Step 5: Solve for x
    x = 43,041,362.31/7,509.80
  6. Step 6: Final answer
    x = 5,731.36

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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.