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Finding the Fourth Proportional to 7,077.58, 10,587.09 and 6,436.06

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Solution

The fourth proportional to 7,077.58, 10,587.09 and 6,436.06 is: 9,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.58 : 10,587.09 = 6,436.06 : x
  2. Step 2: Convert to fraction form
    7,077.58/10,587.09 = 6,436.06/x
  3. Step 3: Cross multiply
    7,077.58x = 10,587.09 × 6,436.06
  4. Step 4: Simplify right side
    7,077.58x = 68,139,146.47
  5. Step 5: Solve for x
    x = 68,139,146.47/7,077.58
  6. Step 6: Final answer
    x = 9,627.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.