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Finding the Fourth Proportional to 10,492.34, 14,471.87 and 7,129.28

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Solution

The fourth proportional to 10,492.34, 14,471.87 and 7,129.28 is: 9,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.34 : 14,471.87 = 7,129.28 : x
  2. Step 2: Convert to fraction form
    10,492.34/14,471.87 = 7,129.28/x
  3. Step 3: Cross multiply
    10,492.34x = 14,471.87 × 7,129.28
  4. Step 4: Simplify right side
    10,492.34x = 103,174,013.89
  5. Step 5: Solve for x
    x = 103,174,013.89/10,492.34
  6. Step 6: Final answer
    x = 9,833.27

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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.