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Finding the Fourth Proportional to 10,240.86, 14,141.16 and 6,470.58

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Solution

The fourth proportional to 10,240.86, 14,141.16 and 6,470.58 is: 8,934.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,240.86 : 14,141.16 = 6,470.58 : x
  2. Step 2: Convert to fraction form
    10,240.86/14,141.16 = 6,470.58/x
  3. Step 3: Cross multiply
    10,240.86x = 14,141.16 × 6,470.58
  4. Step 4: Simplify right side
    10,240.86x = 91,501,507.07
  5. Step 5: Solve for x
    x = 91,501,507.07/10,240.86
  6. Step 6: Final answer
    x = 8,934.94

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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.