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Finding the Fourth Proportional to 10,596.35, 14,616.52 and 7,011.29

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Solution

The fourth proportional to 10,596.35, 14,616.52 and 7,011.29 is: 9,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.35 : 14,616.52 = 7,011.29 : x
  2. Step 2: Convert to fraction form
    10,596.35/14,616.52 = 7,011.29/x
  3. Step 3: Cross multiply
    10,596.35x = 14,616.52 × 7,011.29
  4. Step 4: Simplify right side
    10,596.35x = 102,480,679.52
  5. Step 5: Solve for x
    x = 102,480,679.52/10,596.35
  6. Step 6: Final answer
    x = 9,671.32

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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.