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Finding the Fourth Proportional to 10,362.83, 14,301.06 and 5,886.43

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Solution

The fourth proportional to 10,362.83, 14,301.06 and 5,886.43 is: 8,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,362.83 : 14,301.06 = 5,886.43 : x
  2. Step 2: Convert to fraction form
    10,362.83/14,301.06 = 5,886.43/x
  3. Step 3: Cross multiply
    10,362.83x = 14,301.06 × 5,886.43
  4. Step 4: Simplify right side
    10,362.83x = 84,182,130.79
  5. Step 5: Solve for x
    x = 84,182,130.79/10,362.83
  6. Step 6: Final answer
    x = 8,123.47

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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.