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Finding the Fourth Proportional to 7,436.59, 10,261.42 and 4,642.09

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Solution

The fourth proportional to 7,436.59, 10,261.42 and 4,642.09 is: 6,405.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.59 : 10,261.42 = 4,642.09 : x
  2. Step 2: Convert to fraction form
    7,436.59/10,261.42 = 4,642.09/x
  3. Step 3: Cross multiply
    7,436.59x = 10,261.42 × 4,642.09
  4. Step 4: Simplify right side
    7,436.59x = 47,634,435.17
  5. Step 5: Solve for x
    x = 47,634,435.17/7,436.59
  6. Step 6: Final answer
    x = 6,405.41

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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.