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Finding the Fourth Proportional to 7,389.84, 11,026.62 and 7,139.28

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Solution

The fourth proportional to 7,389.84, 11,026.62 and 7,139.28 is: 10,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,389.84 : 11,026.62 = 7,139.28 : x
  2. Step 2: Convert to fraction form
    7,389.84/11,026.62 = 7,139.28/x
  3. Step 3: Cross multiply
    7,389.84x = 11,026.62 × 7,139.28
  4. Step 4: Simplify right side
    7,389.84x = 78,722,127.63
  5. Step 5: Solve for x
    x = 78,722,127.63/7,389.84
  6. Step 6: Final answer
    x = 10,652.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.