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Finding the Fourth Proportional to 8,590.24, 11,854.92 and 6,724

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Solution

The fourth proportional to 8,590.24, 11,854.92 and 6,724 is: 9,279.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.24 : 11,854.92 = 6,724 : x
  2. Step 2: Convert to fraction form
    8,590.24/11,854.92 = 6,724/x
  3. Step 3: Cross multiply
    8,590.24x = 11,854.92 × 6,724
  4. Step 4: Simplify right side
    8,590.24x = 79,712,482.08
  5. Step 5: Solve for x
    x = 79,712,482.08/8,590.24
  6. Step 6: Final answer
    x = 9,279.42

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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.