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Finding the Fourth Proportional to 7,480.52, 10,319.82 and 4,647.14

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Solution

The fourth proportional to 7,480.52, 10,319.82 and 4,647.14 is: 6,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,480.52 : 10,319.82 = 4,647.14 : x
  2. Step 2: Convert to fraction form
    7,480.52/10,319.82 = 4,647.14/x
  3. Step 3: Cross multiply
    7,480.52x = 10,319.82 × 4,647.14
  4. Step 4: Simplify right side
    7,480.52x = 47,957,648.31
  5. Step 5: Solve for x
    x = 47,957,648.31/7,480.52
  6. Step 6: Final answer
    x = 6,411.00

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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.