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Finding the Fourth Proportional to 7,496.40, 10,344 and 4,309.46

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Solution

The fourth proportional to 7,496.40, 10,344 and 4,309.46 is: 5,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.40 : 10,344 = 4,309.46 : x
  2. Step 2: Convert to fraction form
    7,496.40/10,344 = 4,309.46/x
  3. Step 3: Cross multiply
    7,496.40x = 10,344 × 4,309.46
  4. Step 4: Simplify right side
    7,496.40x = 44,577,002.52
  5. Step 5: Solve for x
    x = 44,577,002.52/7,496.40
  6. Step 6: Final answer
    x = 5,946.45

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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.