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Finding the Fourth Proportional to 10,648.47, 14,690.57 and 7,065.12

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Solution

The fourth proportional to 10,648.47, 14,690.57 and 7,065.12 is: 9,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.47 : 14,690.57 = 7,065.12 : x
  2. Step 2: Convert to fraction form
    10,648.47/14,690.57 = 7,065.12/x
  3. Step 3: Cross multiply
    10,648.47x = 14,690.57 × 7,065.12
  4. Step 4: Simplify right side
    10,648.47x = 103,790,604.59
  5. Step 5: Solve for x
    x = 103,790,604.59/10,648.47
  6. Step 6: Final answer
    x = 9,747.00

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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.