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Finding the Fourth Proportional to 7,509.34, 10,362.47 and 4,151.95

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Solution

The fourth proportional to 7,509.34, 10,362.47 and 4,151.95 is: 5,729.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.34 : 10,362.47 = 4,151.95 : x
  2. Step 2: Convert to fraction form
    7,509.34/10,362.47 = 4,151.95/x
  3. Step 3: Cross multiply
    7,509.34x = 10,362.47 × 4,151.95
  4. Step 4: Simplify right side
    7,509.34x = 43,024,470.27
  5. Step 5: Solve for x
    x = 43,024,470.27/7,509.34
  6. Step 6: Final answer
    x = 5,729.46

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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.