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Finding the Fourth Proportional to 10,397.16, 15,596.64 and 3,002.40

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Solution

The fourth proportional to 10,397.16, 15,596.64 and 3,002.40 is: 4,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.16 : 15,596.64 = 3,002.40 : x
  2. Step 2: Convert to fraction form
    10,397.16/15,596.64 = 3,002.40/x
  3. Step 3: Cross multiply
    10,397.16x = 15,596.64 × 3,002.40
  4. Step 4: Simplify right side
    10,397.16x = 46,827,351.94
  5. Step 5: Solve for x
    x = 46,827,351.94/10,397.16
  6. Step 6: Final answer
    x = 4,503.86

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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.