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Finding the Fourth Proportional to 7,054.87, 9,732.59 and 4,536.52

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Solution

The fourth proportional to 7,054.87, 9,732.59 and 4,536.52 is: 6,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.87 : 9,732.59 = 4,536.52 : x
  2. Step 2: Convert to fraction form
    7,054.87/9,732.59 = 4,536.52/x
  3. Step 3: Cross multiply
    7,054.87x = 9,732.59 × 4,536.52
  4. Step 4: Simplify right side
    7,054.87x = 44,152,089.19
  5. Step 5: Solve for x
    x = 44,152,089.19/7,054.87
  6. Step 6: Final answer
    x = 6,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.