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Finding the Fourth Proportional to 10,605.86, 15,887.58 and 6,386.78

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Solution

The fourth proportional to 10,605.86, 15,887.58 and 6,386.78 is: 9,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.86 : 15,887.58 = 6,386.78 : x
  2. Step 2: Convert to fraction form
    10,605.86/15,887.58 = 6,386.78/x
  3. Step 3: Cross multiply
    10,605.86x = 15,887.58 × 6,386.78
  4. Step 4: Simplify right side
    10,605.86x = 101,470,366.82
  5. Step 5: Solve for x
    x = 101,470,366.82/10,605.86
  6. Step 6: Final answer
    x = 9,567.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.