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Finding the Fourth Proportional to 10,095.68, 13,928.85 and 7,113.15

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Solution

The fourth proportional to 10,095.68, 13,928.85 and 7,113.15 is: 9,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.68 : 13,928.85 = 7,113.15 : x
  2. Step 2: Convert to fraction form
    10,095.68/13,928.85 = 7,113.15/x
  3. Step 3: Cross multiply
    10,095.68x = 13,928.85 × 7,113.15
  4. Step 4: Simplify right side
    10,095.68x = 99,077,999.38
  5. Step 5: Solve for x
    x = 99,077,999.38/10,095.68
  6. Step 6: Final answer
    x = 9,813.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.