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Finding the Fourth Proportional to 10,720.34, 16,071.92 and 5,095.19

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Solution

The fourth proportional to 10,720.34, 16,071.92 and 5,095.19 is: 7,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.34 : 16,071.92 = 5,095.19 : x
  2. Step 2: Convert to fraction form
    10,720.34/16,071.92 = 5,095.19/x
  3. Step 3: Cross multiply
    10,720.34x = 16,071.92 × 5,095.19
  4. Step 4: Simplify right side
    10,720.34x = 81,889,405.71
  5. Step 5: Solve for x
    x = 81,889,405.71/10,720.34
  6. Step 6: Final answer
    x = 7,638.69

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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.