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Finding the Fourth Proportional to 7,730.24, 10,598.12 and 7,590.12

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Solution

The fourth proportional to 7,730.24, 10,598.12 and 7,590.12 is: 10,406.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.24 : 10,598.12 = 7,590.12 : x
  2. Step 2: Convert to fraction form
    7,730.24/10,598.12 = 7,590.12/x
  3. Step 3: Cross multiply
    7,730.24x = 10,598.12 × 7,590.12
  4. Step 4: Simplify right side
    7,730.24x = 80,441,002.57
  5. Step 5: Solve for x
    x = 80,441,002.57/7,730.24
  6. Step 6: Final answer
    x = 10,406.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.