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Finding the Fourth Proportional to 8,590.32, 12,859.55 and 7,768.98

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Solution

The fourth proportional to 8,590.32, 12,859.55 and 7,768.98 is: 11,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.32 : 12,859.55 = 7,768.98 : x
  2. Step 2: Convert to fraction form
    8,590.32/12,859.55 = 7,768.98/x
  3. Step 3: Cross multiply
    8,590.32x = 12,859.55 × 7,768.98
  4. Step 4: Simplify right side
    8,590.32x = 99,905,580.06
  5. Step 5: Solve for x
    x = 99,905,580.06/8,590.32
  6. Step 6: Final answer
    x = 11,630.02

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