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Finding the Fourth Proportional to 7,653.12, 10,562.31 and 4,509.24

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Solution

The fourth proportional to 7,653.12, 10,562.31 and 4,509.24 is: 6,223.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,653.12 : 10,562.31 = 4,509.24 : x
  2. Step 2: Convert to fraction form
    7,653.12/10,562.31 = 4,509.24/x
  3. Step 3: Cross multiply
    7,653.12x = 10,562.31 × 4,509.24
  4. Step 4: Simplify right side
    7,653.12x = 47,627,990.74
  5. Step 5: Solve for x
    x = 47,627,990.74/7,653.12
  6. Step 6: Final answer
    x = 6,223.34

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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.