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Finding the Fourth Proportional to 10,077.46, 13,908.29 and 7,254.18

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Solution

The fourth proportional to 10,077.46, 13,908.29 and 7,254.18 is: 10,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.46 : 13,908.29 = 7,254.18 : x
  2. Step 2: Convert to fraction form
    10,077.46/13,908.29 = 7,254.18/x
  3. Step 3: Cross multiply
    10,077.46x = 13,908.29 × 7,254.18
  4. Step 4: Simplify right side
    10,077.46x = 100,893,225.39
  5. Step 5: Solve for x
    x = 100,893,225.39/10,077.46
  6. Step 6: Final answer
    x = 10,011.77

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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.