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Finding the Fourth Proportional to 10,356.84, 15,536.98 and 4,116.91

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Solution

The fourth proportional to 10,356.84, 15,536.98 and 4,116.91 is: 6,176.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.84 : 15,536.98 = 4,116.91 : x
  2. Step 2: Convert to fraction form
    10,356.84/15,536.98 = 4,116.91/x
  3. Step 3: Cross multiply
    10,356.84x = 15,536.98 × 4,116.91
  4. Step 4: Simplify right side
    10,356.84x = 63,964,418.00
  5. Step 5: Solve for x
    x = 63,964,418.00/10,356.84
  6. Step 6: Final answer
    x = 6,176.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.