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Finding the Fourth Proportional to 10,969.84, 16,490.40 and 8,802.28

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Solution

The fourth proportional to 10,969.84, 16,490.40 and 8,802.28 is: 13,232.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,969.84 : 16,490.40 = 8,802.28 : x
  2. Step 2: Convert to fraction form
    10,969.84/16,490.40 = 8,802.28/x
  3. Step 3: Cross multiply
    10,969.84x = 16,490.40 × 8,802.28
  4. Step 4: Simplify right side
    10,969.84x = 145,153,118.11
  5. Step 5: Solve for x
    x = 145,153,118.11/10,969.84
  6. Step 6: Final answer
    x = 13,232.02

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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.