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Finding the Fourth Proportional to 7,616.16, 11,423.52 and 2,421.12

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Solution

The fourth proportional to 7,616.16, 11,423.52 and 2,421.12 is: 3,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.16 : 11,423.52 = 2,421.12 : x
  2. Step 2: Convert to fraction form
    7,616.16/11,423.52 = 2,421.12/x
  3. Step 3: Cross multiply
    7,616.16x = 11,423.52 × 2,421.12
  4. Step 4: Simplify right side
    7,616.16x = 27,657,712.74
  5. Step 5: Solve for x
    x = 27,657,712.74/7,616.16
  6. Step 6: Final answer
    x = 3,631.45

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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.