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Finding the Fourth Proportional to 7,962.64, 10,988.72 and 4,426

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Solution

The fourth proportional to 7,962.64, 10,988.72 and 4,426 is: 6,108.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962.64 : 10,988.72 = 4,426 : x
  2. Step 2: Convert to fraction form
    7,962.64/10,988.72 = 4,426/x
  3. Step 3: Cross multiply
    7,962.64x = 10,988.72 × 4,426
  4. Step 4: Simplify right side
    7,962.64x = 48,636,074.72
  5. Step 5: Solve for x
    x = 48,636,074.72/7,962.64
  6. Step 6: Final answer
    x = 6,108.03

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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.