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Finding the Fourth Proportional to 10,965.54, 15,133.32 and 6,988.44

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Solution

The fourth proportional to 10,965.54, 15,133.32 and 6,988.44 is: 9,644.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.54 : 15,133.32 = 6,988.44 : x
  2. Step 2: Convert to fraction form
    10,965.54/15,133.32 = 6,988.44/x
  3. Step 3: Cross multiply
    10,965.54x = 15,133.32 × 6,988.44
  4. Step 4: Simplify right side
    10,965.54x = 105,758,298.82
  5. Step 5: Solve for x
    x = 105,758,298.82/10,965.54
  6. Step 6: Final answer
    x = 9,644.60

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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.