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Finding the Fourth Proportional to 10,988.12, 16,465.44 and 7,040.46

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Solution

The fourth proportional to 10,988.12, 16,465.44 and 7,040.46 is: 10,549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,988.12 : 16,465.44 = 7,040.46 : x
  2. Step 2: Convert to fraction form
    10,988.12/16,465.44 = 7,040.46/x
  3. Step 3: Cross multiply
    10,988.12x = 16,465.44 × 7,040.46
  4. Step 4: Simplify right side
    10,988.12x = 115,924,271.70
  5. Step 5: Solve for x
    x = 115,924,271.70/10,988.12
  6. Step 6: Final answer
    x = 10,549.96

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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.