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Finding the Fourth Proportional to 10,829.26, 14,935.02 and 7,051

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Solution

The fourth proportional to 10,829.26, 14,935.02 and 7,051 is: 9,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.26 : 14,935.02 = 7,051 : x
  2. Step 2: Convert to fraction form
    10,829.26/14,935.02 = 7,051/x
  3. Step 3: Cross multiply
    10,829.26x = 14,935.02 × 7,051
  4. Step 4: Simplify right side
    10,829.26x = 105,306,826.02
  5. Step 5: Solve for x
    x = 105,306,826.02/10,829.26
  6. Step 6: Final answer
    x = 9,724.29

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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.