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Finding the Fourth Proportional to 10,615.48, 14,648.56 and 5,899.36

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Solution

The fourth proportional to 10,615.48, 14,648.56 and 5,899.36 is: 8,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,615.48 : 14,648.56 = 5,899.36 : x
  2. Step 2: Convert to fraction form
    10,615.48/14,648.56 = 5,899.36/x
  3. Step 3: Cross multiply
    10,615.48x = 14,648.56 × 5,899.36
  4. Step 4: Simplify right side
    10,615.48x = 86,417,128.92
  5. Step 5: Solve for x
    x = 86,417,128.92/10,615.48
  6. Step 6: Final answer
    x = 8,140.67

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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.