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Finding the Fourth Proportional to 11,455.84, 15,808.94 and 6,420.28

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Solution

The fourth proportional to 11,455.84, 15,808.94 and 6,420.28 is: 8,859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.84 : 15,808.94 = 6,420.28 : x
  2. Step 2: Convert to fraction form
    11,455.84/15,808.94 = 6,420.28/x
  3. Step 3: Cross multiply
    11,455.84x = 15,808.94 × 6,420.28
  4. Step 4: Simplify right side
    11,455.84x = 101,497,710.16
  5. Step 5: Solve for x
    x = 101,497,710.16/11,455.84
  6. Step 6: Final answer
    x = 8,859.91

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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.