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Finding the Fourth Proportional to 10,595.71, 14,623.83 and 5,881.51

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Solution

The fourth proportional to 10,595.71, 14,623.83 and 5,881.51 is: 8,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.71 : 14,623.83 = 5,881.51 : x
  2. Step 2: Convert to fraction form
    10,595.71/14,623.83 = 5,881.51/x
  3. Step 3: Cross multiply
    10,595.71x = 14,623.83 × 5,881.51
  4. Step 4: Simplify right side
    10,595.71x = 86,010,202.38
  5. Step 5: Solve for x
    x = 86,010,202.38/10,595.71
  6. Step 6: Final answer
    x = 8,117.46

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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.