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Finding the Fourth Proportional to 10,282.74, 14,187.06 and 6,302.40

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Solution

The fourth proportional to 10,282.74, 14,187.06 and 6,302.40 is: 8,695.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.74 : 14,187.06 = 6,302.40 : x
  2. Step 2: Convert to fraction form
    10,282.74/14,187.06 = 6,302.40/x
  3. Step 3: Cross multiply
    10,282.74x = 14,187.06 × 6,302.40
  4. Step 4: Simplify right side
    10,282.74x = 89,412,526.94
  5. Step 5: Solve for x
    x = 89,412,526.94/10,282.74
  6. Step 6: Final answer
    x = 8,695.40

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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.