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Finding the Fourth Proportional to 7,675.40, 10,589.28 and 5,024.32

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Solution

The fourth proportional to 7,675.40, 10,589.28 and 5,024.32 is: 6,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.40 : 10,589.28 = 5,024.32 : x
  2. Step 2: Convert to fraction form
    7,675.40/10,589.28 = 5,024.32/x
  3. Step 3: Cross multiply
    7,675.40x = 10,589.28 × 5,024.32
  4. Step 4: Simplify right side
    7,675.40x = 53,203,931.29
  5. Step 5: Solve for x
    x = 53,203,931.29/7,675.40
  6. Step 6: Final answer
    x = 6,931.75

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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.