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Finding the Fourth Proportional to 11,463.13, 15,821.93 and 6,989.35

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Solution

The fourth proportional to 11,463.13, 15,821.93 and 6,989.35 is: 9,647.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.13 : 15,821.93 = 6,989.35 : x
  2. Step 2: Convert to fraction form
    11,463.13/15,821.93 = 6,989.35/x
  3. Step 3: Cross multiply
    11,463.13x = 15,821.93 × 6,989.35
  4. Step 4: Simplify right side
    11,463.13x = 110,584,935.04
  5. Step 5: Solve for x
    x = 110,584,935.04/11,463.13
  6. Step 6: Final answer
    x = 9,647.01

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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.