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Finding the Fourth Proportional to 10,134.69, 14,011.97 and 7,784.61

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Solution

The fourth proportional to 10,134.69, 14,011.97 and 7,784.61 is: 10,762.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,134.69 : 14,011.97 = 7,784.61 : x
  2. Step 2: Convert to fraction form
    10,134.69/14,011.97 = 7,784.61/x
  3. Step 3: Cross multiply
    10,134.69x = 14,011.97 × 7,784.61
  4. Step 4: Simplify right side
    10,134.69x = 109,077,682.86
  5. Step 5: Solve for x
    x = 109,077,682.86/10,134.69
  6. Step 6: Final answer
    x = 10,762.80

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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.