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Finding the Fourth Proportional to 10,417.68, 14,375.76 and 6,168.72

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Solution

The fourth proportional to 10,417.68, 14,375.76 and 6,168.72 is: 8,512.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.68 : 14,375.76 = 6,168.72 : x
  2. Step 2: Convert to fraction form
    10,417.68/14,375.76 = 6,168.72/x
  3. Step 3: Cross multiply
    10,417.68x = 14,375.76 × 6,168.72
  4. Step 4: Simplify right side
    10,417.68x = 88,680,038.23
  5. Step 5: Solve for x
    x = 88,680,038.23/10,417.68
  6. Step 6: Final answer
    x = 8,512.46

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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.