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Finding the Fourth Proportional to 10,425.42, 14,386.53 and 5,709.60

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Solution

The fourth proportional to 10,425.42, 14,386.53 and 5,709.60 is: 7,878.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.42 : 14,386.53 = 5,709.60 : x
  2. Step 2: Convert to fraction form
    10,425.42/14,386.53 = 5,709.60/x
  3. Step 3: Cross multiply
    10,425.42x = 14,386.53 × 5,709.60
  4. Step 4: Simplify right side
    10,425.42x = 82,141,331.69
  5. Step 5: Solve for x
    x = 82,141,331.69/10,425.42
  6. Step 6: Final answer
    x = 7,878.95

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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.