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Finding the Fourth Proportional to 8,534.59, 11,776.30 and 4,756.93

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Solution

The fourth proportional to 8,534.59, 11,776.30 and 4,756.93 is: 6,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.59 : 11,776.30 = 4,756.93 : x
  2. Step 2: Convert to fraction form
    8,534.59/11,776.30 = 4,756.93/x
  3. Step 3: Cross multiply
    8,534.59x = 11,776.30 × 4,756.93
  4. Step 4: Simplify right side
    8,534.59x = 56,018,993.43
  5. Step 5: Solve for x
    x = 56,018,993.43/8,534.59
  6. Step 6: Final answer
    x = 6,563.76

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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.