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Finding the Fourth Proportional to 7,509.95, 10,364.38 and 4,153.31

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Solution

The fourth proportional to 7,509.95, 10,364.38 and 4,153.31 is: 5,731.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.95 : 10,364.38 = 4,153.31 : x
  2. Step 2: Convert to fraction form
    7,509.95/10,364.38 = 4,153.31/x
  3. Step 3: Cross multiply
    7,509.95x = 10,364.38 × 4,153.31
  4. Step 4: Simplify right side
    7,509.95x = 43,046,420.89
  5. Step 5: Solve for x
    x = 43,046,420.89/7,509.95
  6. Step 6: Final answer
    x = 5,731.92

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Why These Related Problems?

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