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Finding the Fourth Proportional to 8,695.52, 13,045.20 and 4,076

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Solution

The fourth proportional to 8,695.52, 13,045.20 and 4,076 is: 6,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,695.52 : 13,045.20 = 4,076 : x
  2. Step 2: Convert to fraction form
    8,695.52/13,045.20 = 4,076/x
  3. Step 3: Cross multiply
    8,695.52x = 13,045.20 × 4,076
  4. Step 4: Simplify right side
    8,695.52x = 53,172,235.20
  5. Step 5: Solve for x
    x = 53,172,235.20/8,695.52
  6. Step 6: Final answer
    x = 6,114.90

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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.