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Finding the Fourth Proportional to 10,603.90, 14,632 and 5,887.27

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Solution

The fourth proportional to 10,603.90, 14,632 and 5,887.27 is: 8,123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.90 : 14,632 = 5,887.27 : x
  2. Step 2: Convert to fraction form
    10,603.90/14,632 = 5,887.27/x
  3. Step 3: Cross multiply
    10,603.90x = 14,632 × 5,887.27
  4. Step 4: Simplify right side
    10,603.90x = 86,142,534.64
  5. Step 5: Solve for x
    x = 86,142,534.64/10,603.90
  6. Step 6: Final answer
    x = 8,123.67

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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.