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Finding the Fourth Proportional to 10,394.62, 14,339.58 and 7,557.60

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Solution

The fourth proportional to 10,394.62, 14,339.58 and 7,557.60 is: 10,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.62 : 14,339.58 = 7,557.60 : x
  2. Step 2: Convert to fraction form
    10,394.62/14,339.58 = 7,557.60/x
  3. Step 3: Cross multiply
    10,394.62x = 14,339.58 × 7,557.60
  4. Step 4: Simplify right side
    10,394.62x = 108,372,809.81
  5. Step 5: Solve for x
    x = 108,372,809.81/10,394.62
  6. Step 6: Final answer
    x = 10,425.86

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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.