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Finding the Fourth Proportional to 10,546.32, 14,554.99 and 6,070.26

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Solution

The fourth proportional to 10,546.32, 14,554.99 and 6,070.26 is: 8,377.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.32 : 14,554.99 = 6,070.26 : x
  2. Step 2: Convert to fraction form
    10,546.32/14,554.99 = 6,070.26/x
  3. Step 3: Cross multiply
    10,546.32x = 14,554.99 × 6,070.26
  4. Step 4: Simplify right side
    10,546.32x = 88,352,573.60
  5. Step 5: Solve for x
    x = 88,352,573.60/10,546.32
  6. Step 6: Final answer
    x = 8,377.57

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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.