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Finding the Fourth Proportional to 10,840.10, 14,956.92 and 6,302.07

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Solution

The fourth proportional to 10,840.10, 14,956.92 and 6,302.07 is: 8,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840.10 : 14,956.92 = 6,302.07 : x
  2. Step 2: Convert to fraction form
    10,840.10/14,956.92 = 6,302.07/x
  3. Step 3: Cross multiply
    10,840.10x = 14,956.92 × 6,302.07
  4. Step 4: Simplify right side
    10,840.10x = 94,259,556.82
  5. Step 5: Solve for x
    x = 94,259,556.82/10,840.10
  6. Step 6: Final answer
    x = 8,695.45

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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.