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Finding the Fourth Proportional to 10,258.59, 14,168.53 and 6,895.56

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Solution

The fourth proportional to 10,258.59, 14,168.53 and 6,895.56 is: 9,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.59 : 14,168.53 = 6,895.56 : x
  2. Step 2: Convert to fraction form
    10,258.59/14,168.53 = 6,895.56/x
  3. Step 3: Cross multiply
    10,258.59x = 14,168.53 × 6,895.56
  4. Step 4: Simplify right side
    10,258.59x = 97,699,948.73
  5. Step 5: Solve for x
    x = 97,699,948.73/10,258.59
  6. Step 6: Final answer
    x = 9,523.73

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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.