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Finding the Fourth Proportional to 10,077.65, 13,903.28 and 6,492.34

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Solution

The fourth proportional to 10,077.65, 13,903.28 and 6,492.34 is: 8,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.65 : 13,903.28 = 6,492.34 : x
  2. Step 2: Convert to fraction form
    10,077.65/13,903.28 = 6,492.34/x
  3. Step 3: Cross multiply
    10,077.65x = 13,903.28 × 6,492.34
  4. Step 4: Simplify right side
    10,077.65x = 90,264,786.12
  5. Step 5: Solve for x
    x = 90,264,786.12/10,077.65
  6. Step 6: Final answer
    x = 8,956.93

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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.