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Finding the Fourth Proportional to 10,615.01, 14,647.59 and 6,140.21

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Solution

The fourth proportional to 10,615.01, 14,647.59 and 6,140.21 is: 8,472.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.01 : 14,647.59 = 6,140.21 : x
  2. Step 2: Convert to fraction form
    10,615.01/14,647.59 = 6,140.21/x
  3. Step 3: Cross multiply
    10,615.01x = 14,647.59 × 6,140.21
  4. Step 4: Simplify right side
    10,615.01x = 89,939,205.36
  5. Step 5: Solve for x
    x = 89,939,205.36/10,615.01
  6. Step 6: Final answer
    x = 8,472.84

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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.