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Finding the Fourth Proportional to 7,389.92, 10,199.76 and 5,033

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Solution

The fourth proportional to 7,389.92, 10,199.76 and 5,033 is: 6,946.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.92 : 10,199.76 = 5,033 : x
  2. Step 2: Convert to fraction form
    7,389.92/10,199.76 = 5,033/x
  3. Step 3: Cross multiply
    7,389.92x = 10,199.76 × 5,033
  4. Step 4: Simplify right side
    7,389.92x = 51,335,392.08
  5. Step 5: Solve for x
    x = 51,335,392.08/7,389.92
  6. Step 6: Final answer
    x = 6,946.68

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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.