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Finding the Fourth Proportional to 8,484.26, 12,712.71 and 4,590.50

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Solution

The fourth proportional to 8,484.26, 12,712.71 and 4,590.50 is: 6,878.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,484.26 : 12,712.71 = 4,590.50 : x
  2. Step 2: Convert to fraction form
    8,484.26/12,712.71 = 4,590.50/x
  3. Step 3: Cross multiply
    8,484.26x = 12,712.71 × 4,590.50
  4. Step 4: Simplify right side
    8,484.26x = 58,357,695.26
  5. Step 5: Solve for x
    x = 58,357,695.26/8,484.26
  6. Step 6: Final answer
    x = 6,878.35

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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.