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Finding the Fourth Proportional to 10,580.22, 15,872.04 and 4,339.98

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Solution

The fourth proportional to 10,580.22, 15,872.04 and 4,339.98 is: 6,510.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.22 : 15,872.04 = 4,339.98 : x
  2. Step 2: Convert to fraction form
    10,580.22/15,872.04 = 4,339.98/x
  3. Step 3: Cross multiply
    10,580.22x = 15,872.04 × 4,339.98
  4. Step 4: Simplify right side
    10,580.22x = 68,884,336.16
  5. Step 5: Solve for x
    x = 68,884,336.16/10,580.22
  6. Step 6: Final answer
    x = 6,510.67

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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.