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Finding the Fourth Proportional to 7,007.50, 9,670.47 and 4,527.82

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Solution

The fourth proportional to 7,007.50, 9,670.47 and 4,527.82 is: 6,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.50 : 9,670.47 = 4,527.82 : x
  2. Step 2: Convert to fraction form
    7,007.50/9,670.47 = 4,527.82/x
  3. Step 3: Cross multiply
    7,007.50x = 9,670.47 × 4,527.82
  4. Step 4: Simplify right side
    7,007.50x = 43,786,147.48
  5. Step 5: Solve for x
    x = 43,786,147.48/7,007.50
  6. Step 6: Final answer
    x = 6,248.47

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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.