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Finding the Fourth Proportional to 10,248.81, 14,142.65 and 6,056.25

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Solution

The fourth proportional to 10,248.81, 14,142.65 and 6,056.25 is: 8,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.81 : 14,142.65 = 6,056.25 : x
  2. Step 2: Convert to fraction form
    10,248.81/14,142.65 = 6,056.25/x
  3. Step 3: Cross multiply
    10,248.81x = 14,142.65 × 6,056.25
  4. Step 4: Simplify right side
    10,248.81x = 85,651,393.78
  5. Step 5: Solve for x
    x = 85,651,393.78/10,248.81
  6. Step 6: Final answer
    x = 8,357.20

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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.