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Finding the Fourth Proportional to 10,615.74, 14,645.44 and 6,416.70

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Solution

The fourth proportional to 10,615.74, 14,645.44 and 6,416.70 is: 8,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.74 : 14,645.44 = 6,416.70 : x
  2. Step 2: Convert to fraction form
    10,615.74/14,645.44 = 6,416.70/x
  3. Step 3: Cross multiply
    10,615.74x = 14,645.44 × 6,416.70
  4. Step 4: Simplify right side
    10,615.74x = 93,975,394.85
  5. Step 5: Solve for x
    x = 93,975,394.85/10,615.74
  6. Step 6: Final answer
    x = 8,852.46

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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.