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Finding the Fourth Proportional to 10,253.57, 14,156.06 and 6,722.93

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Solution

The fourth proportional to 10,253.57, 14,156.06 and 6,722.93 is: 9,281.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.57 : 14,156.06 = 6,722.93 : x
  2. Step 2: Convert to fraction form
    10,253.57/14,156.06 = 6,722.93/x
  3. Step 3: Cross multiply
    10,253.57x = 14,156.06 × 6,722.93
  4. Step 4: Simplify right side
    10,253.57x = 95,170,096.06
  5. Step 5: Solve for x
    x = 95,170,096.06/10,253.57
  6. Step 6: Final answer
    x = 9,281.66

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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.