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Finding the Fourth Proportional to 10,496.25, 14,484.87 and 6,306.93

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Solution

The fourth proportional to 10,496.25, 14,484.87 and 6,306.93 is: 8,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.25 : 14,484.87 = 6,306.93 : x
  2. Step 2: Convert to fraction form
    10,496.25/14,484.87 = 6,306.93/x
  3. Step 3: Cross multiply
    10,496.25x = 14,484.87 × 6,306.93
  4. Step 4: Simplify right side
    10,496.25x = 91,355,061.15
  5. Step 5: Solve for x
    x = 91,355,061.15/10,496.25
  6. Step 6: Final answer
    x = 8,703.59

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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.