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Finding the Fourth Proportional to 7,534.13, 10,398.06 and 4,949.28

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Solution

The fourth proportional to 7,534.13, 10,398.06 and 4,949.28 is: 6,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.13 : 10,398.06 = 4,949.28 : x
  2. Step 2: Convert to fraction form
    7,534.13/10,398.06 = 4,949.28/x
  3. Step 3: Cross multiply
    7,534.13x = 10,398.06 × 4,949.28
  4. Step 4: Simplify right side
    7,534.13x = 51,462,895.07
  5. Step 5: Solve for x
    x = 51,462,895.07/7,534.13
  6. Step 6: Final answer
    x = 6,830.63

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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.