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Finding the Fourth Proportional to 7,970.40, 11,000.02 and 4,613.16

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Solution

The fourth proportional to 7,970.40, 11,000.02 and 4,613.16 is: 6,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.40 : 11,000.02 = 4,613.16 : x
  2. Step 2: Convert to fraction form
    7,970.40/11,000.02 = 4,613.16/x
  3. Step 3: Cross multiply
    7,970.40x = 11,000.02 × 4,613.16
  4. Step 4: Simplify right side
    7,970.40x = 50,744,852.26
  5. Step 5: Solve for x
    x = 50,744,852.26/7,970.40
  6. Step 6: Final answer
    x = 6,366.66

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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.