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Finding the Fourth Proportional to 10,763.72, 14,860.56 and 8,534.60

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Solution

The fourth proportional to 10,763.72, 14,860.56 and 8,534.60 is: 11,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.72 : 14,860.56 = 8,534.60 : x
  2. Step 2: Convert to fraction form
    10,763.72/14,860.56 = 8,534.60/x
  3. Step 3: Cross multiply
    10,763.72x = 14,860.56 × 8,534.60
  4. Step 4: Simplify right side
    10,763.72x = 126,828,935.38
  5. Step 5: Solve for x
    x = 126,828,935.38/10,763.72
  6. Step 6: Final answer
    x = 11,783.00

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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.