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Finding the Fourth Proportional to 10,364.62, 14,308.20 and 6,590.68

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Solution

The fourth proportional to 10,364.62, 14,308.20 and 6,590.68 is: 9,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.62 : 14,308.20 = 6,590.68 : x
  2. Step 2: Convert to fraction form
    10,364.62/14,308.20 = 6,590.68/x
  3. Step 3: Cross multiply
    10,364.62x = 14,308.20 × 6,590.68
  4. Step 4: Simplify right side
    10,364.62x = 94,300,767.58
  5. Step 5: Solve for x
    x = 94,300,767.58/10,364.62
  6. Step 6: Final answer
    x = 9,098.33

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