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Finding the Fourth Proportional to 10,603.86, 14,632.70 and 5,887.86

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Solution

The fourth proportional to 10,603.86, 14,632.70 and 5,887.86 is: 8,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.86 : 14,632.70 = 5,887.86 : x
  2. Step 2: Convert to fraction form
    10,603.86/14,632.70 = 5,887.86/x
  3. Step 3: Cross multiply
    10,603.86x = 14,632.70 × 5,887.86
  4. Step 4: Simplify right side
    10,603.86x = 86,155,289.02
  5. Step 5: Solve for x
    x = 86,155,289.02/10,603.86
  6. Step 6: Final answer
    x = 8,124.90

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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.