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Finding the Fourth Proportional to 10,329.60, 14,254.64 and 5,614

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Solution

The fourth proportional to 10,329.60, 14,254.64 and 5,614 is: 7,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.60 : 14,254.64 = 5,614 : x
  2. Step 2: Convert to fraction form
    10,329.60/14,254.64 = 5,614/x
  3. Step 3: Cross multiply
    10,329.60x = 14,254.64 × 5,614
  4. Step 4: Simplify right side
    10,329.60x = 80,025,548.96
  5. Step 5: Solve for x
    x = 80,025,548.96/10,329.60
  6. Step 6: Final answer
    x = 7,747.21

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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.