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Finding the Fourth Proportional to 7,048.11, 9,726.28 and 4,531.14

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Solution

The fourth proportional to 7,048.11, 9,726.28 and 4,531.14 is: 6,252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.11 : 9,726.28 = 4,531.14 : x
  2. Step 2: Convert to fraction form
    7,048.11/9,726.28 = 4,531.14/x
  3. Step 3: Cross multiply
    7,048.11x = 9,726.28 × 4,531.14
  4. Step 4: Simplify right side
    7,048.11x = 44,071,125.03
  5. Step 5: Solve for x
    x = 44,071,125.03/7,048.11
  6. Step 6: Final answer
    x = 6,252.90

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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.