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Finding the Fourth Proportional to 7,488.64, 11,233.68 and 3,046.72

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Solution

The fourth proportional to 7,488.64, 11,233.68 and 3,046.72 is: 4,570.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.64 : 11,233.68 = 3,046.72 : x
  2. Step 2: Convert to fraction form
    7,488.64/11,233.68 = 3,046.72/x
  3. Step 3: Cross multiply
    7,488.64x = 11,233.68 × 3,046.72
  4. Step 4: Simplify right side
    7,488.64x = 34,225,877.53
  5. Step 5: Solve for x
    x = 34,225,877.53/7,488.64
  6. Step 6: Final answer
    x = 4,570.37

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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.