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Finding the Fourth Proportional to 10,623.84, 15,939 and 5,433.36

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Solution

The fourth proportional to 10,623.84, 15,939 and 5,433.36 is: 8,151.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,623.84 : 15,939 = 5,433.36 : x
  2. Step 2: Convert to fraction form
    10,623.84/15,939 = 5,433.36/x
  3. Step 3: Cross multiply
    10,623.84x = 15,939 × 5,433.36
  4. Step 4: Simplify right side
    10,623.84x = 86,602,325.04
  5. Step 5: Solve for x
    x = 86,602,325.04/10,623.84
  6. Step 6: Final answer
    x = 8,151.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.