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Finding the Fourth Proportional to 11,407.08, 15,746.22 and 6,931.56

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Solution

The fourth proportional to 11,407.08, 15,746.22 and 6,931.56 is: 9,568.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.08 : 15,746.22 = 6,931.56 : x
  2. Step 2: Convert to fraction form
    11,407.08/15,746.22 = 6,931.56/x
  3. Step 3: Cross multiply
    11,407.08x = 15,746.22 × 6,931.56
  4. Step 4: Simplify right side
    11,407.08x = 109,145,868.70
  5. Step 5: Solve for x
    x = 109,145,868.70/11,407.08
  6. Step 6: Final answer
    x = 9,568.26

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