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Finding the Fourth Proportional to 8,509.46, 11,742.98 and 4,783.46

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Solution

The fourth proportional to 8,509.46, 11,742.98 and 4,783.46 is: 6,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.46 : 11,742.98 = 4,783.46 : x
  2. Step 2: Convert to fraction form
    8,509.46/11,742.98 = 4,783.46/x
  3. Step 3: Cross multiply
    8,509.46x = 11,742.98 × 4,783.46
  4. Step 4: Simplify right side
    8,509.46x = 56,172,075.11
  5. Step 5: Solve for x
    x = 56,172,075.11/8,509.46
  6. Step 6: Final answer
    x = 6,601.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.