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Finding the Fourth Proportional to 10,784, 14,883.36 and 7,060.16

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Solution

The fourth proportional to 10,784, 14,883.36 and 7,060.16 is: 9,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,784 : 14,883.36 = 7,060.16 : x
  2. Step 2: Convert to fraction form
    10,784/14,883.36 = 7,060.16/x
  3. Step 3: Cross multiply
    10,784x = 14,883.36 × 7,060.16
  4. Step 4: Simplify right side
    10,784x = 105,078,902.94
  5. Step 5: Solve for x
    x = 105,078,902.94/10,784
  6. Step 6: Final answer
    x = 9,743.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.