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Finding the Fourth Proportional to 7,730.38, 11,590.53 and 5,089.89

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Solution

The fourth proportional to 7,730.38, 11,590.53 and 5,089.89 is: 7,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.38 : 11,590.53 = 5,089.89 : x
  2. Step 2: Convert to fraction form
    7,730.38/11,590.53 = 5,089.89/x
  3. Step 3: Cross multiply
    7,730.38x = 11,590.53 × 5,089.89
  4. Step 4: Simplify right side
    7,730.38x = 58,994,522.74
  5. Step 5: Solve for x
    x = 58,994,522.74/7,730.38
  6. Step 6: Final answer
    x = 7,631.52

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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.