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Finding the Fourth Proportional to 7,509.12, 10,362.06 and 4,151.47

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Solution

The fourth proportional to 7,509.12, 10,362.06 and 4,151.47 is: 5,728.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.12 : 10,362.06 = 4,151.47 : x
  2. Step 2: Convert to fraction form
    7,509.12/10,362.06 = 4,151.47/x
  3. Step 3: Cross multiply
    7,509.12x = 10,362.06 × 4,151.47
  4. Step 4: Simplify right side
    7,509.12x = 43,017,774.75
  5. Step 5: Solve for x
    x = 43,017,774.75/7,509.12
  6. Step 6: Final answer
    x = 5,728.74

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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.