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Finding the Fourth Proportional to 10,854.54, 16,282.62 and 5,312.52

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Solution

The fourth proportional to 10,854.54, 16,282.62 and 5,312.52 is: 7,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.54 : 16,282.62 = 5,312.52 : x
  2. Step 2: Convert to fraction form
    10,854.54/16,282.62 = 5,312.52/x
  3. Step 3: Cross multiply
    10,854.54x = 16,282.62 × 5,312.52
  4. Step 4: Simplify right side
    10,854.54x = 86,501,744.40
  5. Step 5: Solve for x
    x = 86,501,744.40/10,854.54
  6. Step 6: Final answer
    x = 7,969.18

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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.