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Finding the Fourth Proportional to 10,826.55, 14,943.47 and 7,059.06

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Solution

The fourth proportional to 10,826.55, 14,943.47 and 7,059.06 is: 9,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.55 : 14,943.47 = 7,059.06 : x
  2. Step 2: Convert to fraction form
    10,826.55/14,943.47 = 7,059.06/x
  3. Step 3: Cross multiply
    10,826.55x = 14,943.47 × 7,059.06
  4. Step 4: Simplify right side
    10,826.55x = 105,486,816.04
  5. Step 5: Solve for x
    x = 105,486,816.04/10,826.55
  6. Step 6: Final answer
    x = 9,743.35

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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.