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Finding the Fourth Proportional to 10,712.71, 14,803.88 and 8,055.51

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Solution

The fourth proportional to 10,712.71, 14,803.88 and 8,055.51 is: 11,131.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.71 : 14,803.88 = 8,055.51 : x
  2. Step 2: Convert to fraction form
    10,712.71/14,803.88 = 8,055.51/x
  3. Step 3: Cross multiply
    10,712.71x = 14,803.88 × 8,055.51
  4. Step 4: Simplify right side
    10,712.71x = 119,252,803.38
  5. Step 5: Solve for x
    x = 119,252,803.38/10,712.71
  6. Step 6: Final answer
    x = 11,131.90

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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.