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Finding the Fourth Proportional to 7,630.16, 11,447.80 and 4,704.40

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Solution

The fourth proportional to 7,630.16, 11,447.80 and 4,704.40 is: 7,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.16 : 11,447.80 = 4,704.40 : x
  2. Step 2: Convert to fraction form
    7,630.16/11,447.80 = 4,704.40/x
  3. Step 3: Cross multiply
    7,630.16x = 11,447.80 × 4,704.40
  4. Step 4: Simplify right side
    7,630.16x = 53,855,030.32
  5. Step 5: Solve for x
    x = 53,855,030.32/7,630.16
  6. Step 6: Final answer
    x = 7,058.18

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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.