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Finding the Fourth Proportional to 7,497.84, 11,246.22 and 2,303.40

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Solution

The fourth proportional to 7,497.84, 11,246.22 and 2,303.40 is: 3,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.84 : 11,246.22 = 2,303.40 : x
  2. Step 2: Convert to fraction form
    7,497.84/11,246.22 = 2,303.40/x
  3. Step 3: Cross multiply
    7,497.84x = 11,246.22 × 2,303.40
  4. Step 4: Simplify right side
    7,497.84x = 25,904,543.15
  5. Step 5: Solve for x
    x = 25,904,543.15/7,497.84
  6. Step 6: Final answer
    x = 3,454.93

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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.