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Finding the Fourth Proportional to 10,154.25, 14,014.08 and 5,962.50

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Solution

The fourth proportional to 10,154.25, 14,014.08 and 5,962.50 is: 8,228.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.25 : 14,014.08 = 5,962.50 : x
  2. Step 2: Convert to fraction form
    10,154.25/14,014.08 = 5,962.50/x
  3. Step 3: Cross multiply
    10,154.25x = 14,014.08 × 5,962.50
  4. Step 4: Simplify right side
    10,154.25x = 83,558,952
  5. Step 5: Solve for x
    x = 83,558,952/10,154.25
  6. Step 6: Final answer
    x = 8,228.96

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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.