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Finding the Fourth Proportional to 10,955.16, 16,436.88 and 6,575.67

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Solution

The fourth proportional to 10,955.16, 16,436.88 and 6,575.67 is: 9,865.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.16 : 16,436.88 = 6,575.67 : x
  2. Step 2: Convert to fraction form
    10,955.16/16,436.88 = 6,575.67/x
  3. Step 3: Cross multiply
    10,955.16x = 16,436.88 × 6,575.67
  4. Step 4: Simplify right side
    10,955.16x = 108,083,498.71
  5. Step 5: Solve for x
    x = 108,083,498.71/10,955.16
  6. Step 6: Final answer
    x = 9,865.99

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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.