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Finding the Fourth Proportional to 10,508.19, 15,751.65 and 6,812.76

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Solution

The fourth proportional to 10,508.19, 15,751.65 and 6,812.76 is: 10,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.19 : 15,751.65 = 6,812.76 : x
  2. Step 2: Convert to fraction form
    10,508.19/15,751.65 = 6,812.76/x
  3. Step 3: Cross multiply
    10,508.19x = 15,751.65 × 6,812.76
  4. Step 4: Simplify right side
    10,508.19x = 107,312,211.05
  5. Step 5: Solve for x
    x = 107,312,211.05/10,508.19
  6. Step 6: Final answer
    x = 10,212.25

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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.