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Finding the Fourth Proportional to 7,497, 10,341.27 and 5,901.30

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Solution

The fourth proportional to 7,497, 10,341.27 and 5,901.30 is: 8,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497 : 10,341.27 = 5,901.30 : x
  2. Step 2: Convert to fraction form
    7,497/10,341.27 = 5,901.30/x
  3. Step 3: Cross multiply
    7,497x = 10,341.27 × 5,901.30
  4. Step 4: Simplify right side
    7,497x = 61,026,936.65
  5. Step 5: Solve for x
    x = 61,026,936.65/7,497
  6. Step 6: Final answer
    x = 8,140.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.