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Finding the Fourth Proportional to 8,500.32, 12,756.63 and 4,809.76

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Solution

The fourth proportional to 8,500.32, 12,756.63 and 4,809.76 is: 7,218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,500.32 : 12,756.63 = 4,809.76 : x
  2. Step 2: Convert to fraction form
    8,500.32/12,756.63 = 4,809.76/x
  3. Step 3: Cross multiply
    8,500.32x = 12,756.63 × 4,809.76
  4. Step 4: Simplify right side
    8,500.32x = 61,356,328.71
  5. Step 5: Solve for x
    x = 61,356,328.71/8,500.32
  6. Step 6: Final answer
    x = 7,218.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.