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Finding the Fourth Proportional to 7,488.17, 11,232.52 and 2,807.70

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Solution

The fourth proportional to 7,488.17, 11,232.52 and 2,807.70 is: 4,211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.17 : 11,232.52 = 2,807.70 : x
  2. Step 2: Convert to fraction form
    7,488.17/11,232.52 = 2,807.70/x
  3. Step 3: Cross multiply
    7,488.17x = 11,232.52 × 2,807.70
  4. Step 4: Simplify right side
    7,488.17x = 31,537,539.38
  5. Step 5: Solve for x
    x = 31,537,539.38/7,488.17
  6. Step 6: Final answer
    x = 4,211.65

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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.