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Finding the Fourth Proportional to 10,546.71, 14,556.05 and 6,070.16

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Solution

The fourth proportional to 10,546.71, 14,556.05 and 6,070.16 is: 8,377.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.71 : 14,556.05 = 6,070.16 : x
  2. Step 2: Convert to fraction form
    10,546.71/14,556.05 = 6,070.16/x
  3. Step 3: Cross multiply
    10,546.71x = 14,556.05 × 6,070.16
  4. Step 4: Simplify right side
    10,546.71x = 88,357,449.34
  5. Step 5: Solve for x
    x = 88,357,449.34/10,546.71
  6. Step 6: Final answer
    x = 8,377.73

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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.