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Finding the Fourth Proportional to 8,695.64, 13,041.66 and 4,745

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Solution

The fourth proportional to 8,695.64, 13,041.66 and 4,745 is: 7,116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.64 : 13,041.66 = 4,745 : x
  2. Step 2: Convert to fraction form
    8,695.64/13,041.66 = 4,745/x
  3. Step 3: Cross multiply
    8,695.64x = 13,041.66 × 4,745
  4. Step 4: Simplify right side
    8,695.64x = 61,882,676.70
  5. Step 5: Solve for x
    x = 61,882,676.70/8,695.64
  6. Step 6: Final answer
    x = 7,116.52

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Why These Related Problems?

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