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Finding the Fourth Proportional to 11,309.32, 15,603.24 and 6,834.40

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Solution

The fourth proportional to 11,309.32, 15,603.24 and 6,834.40 is: 9,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.32 : 15,603.24 = 6,834.40 : x
  2. Step 2: Convert to fraction form
    11,309.32/15,603.24 = 6,834.40/x
  3. Step 3: Cross multiply
    11,309.32x = 15,603.24 × 6,834.40
  4. Step 4: Simplify right side
    11,309.32x = 106,638,783.46
  5. Step 5: Solve for x
    x = 106,638,783.46/11,309.32
  6. Step 6: Final answer
    x = 9,429.28

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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.