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Finding the Fourth Proportional to 10,802.42, 16,175.58 and 9,252.40

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Solution

The fourth proportional to 10,802.42, 16,175.58 and 9,252.40 is: 13,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.42 : 16,175.58 = 9,252.40 : x
  2. Step 2: Convert to fraction form
    10,802.42/16,175.58 = 9,252.40/x
  3. Step 3: Cross multiply
    10,802.42x = 16,175.58 × 9,252.40
  4. Step 4: Simplify right side
    10,802.42x = 149,662,936.39
  5. Step 5: Solve for x
    x = 149,662,936.39/10,802.42
  6. Step 6: Final answer
    x = 13,854.57

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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.