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Finding the Fourth Proportional to 10,591.74, 14,610.53 and 6,605.93

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Solution

The fourth proportional to 10,591.74, 14,610.53 and 6,605.93 is: 9,112.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.74 : 14,610.53 = 6,605.93 : x
  2. Step 2: Convert to fraction form
    10,591.74/14,610.53 = 6,605.93/x
  3. Step 3: Cross multiply
    10,591.74x = 14,610.53 × 6,605.93
  4. Step 4: Simplify right side
    10,591.74x = 96,516,141.94
  5. Step 5: Solve for x
    x = 96,516,141.94/10,591.74
  6. Step 6: Final answer
    x = 9,112.40

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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.