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Finding the Fourth Proportional to 7,002.45, 10,503.14 and 3,670.65

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Solution

The fourth proportional to 7,002.45, 10,503.14 and 3,670.65 is: 5,505.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.45 : 10,503.14 = 3,670.65 : x
  2. Step 2: Convert to fraction form
    7,002.45/10,503.14 = 3,670.65/x
  3. Step 3: Cross multiply
    7,002.45x = 10,503.14 × 3,670.65
  4. Step 4: Simplify right side
    7,002.45x = 38,553,332.49
  5. Step 5: Solve for x
    x = 38,553,332.49/7,002.45
  6. Step 6: Final answer
    x = 5,505.69

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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.