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Finding the Fourth Proportional to 10,686.76, 14,752.91 and 7,506.81

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Solution

The fourth proportional to 10,686.76, 14,752.91 and 7,506.81 is: 10,363.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.76 : 14,752.91 = 7,506.81 : x
  2. Step 2: Convert to fraction form
    10,686.76/14,752.91 = 7,506.81/x
  3. Step 3: Cross multiply
    10,686.76x = 14,752.91 × 7,506.81
  4. Step 4: Simplify right side
    10,686.76x = 110,747,311.08
  5. Step 5: Solve for x
    x = 110,747,311.08/10,686.76
  6. Step 6: Final answer
    x = 10,363.04

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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.