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Finding the Fourth Proportional to 7,547.51, 11,320.74 and 2,282.67

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Solution

The fourth proportional to 7,547.51, 11,320.74 and 2,282.67 is: 3,423.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.51 : 11,320.74 = 2,282.67 : x
  2. Step 2: Convert to fraction form
    7,547.51/11,320.74 = 2,282.67/x
  3. Step 3: Cross multiply
    7,547.51x = 11,320.74 × 2,282.67
  4. Step 4: Simplify right side
    7,547.51x = 25,841,513.58
  5. Step 5: Solve for x
    x = 25,841,513.58/7,547.51
  6. Step 6: Final answer
    x = 3,423.85

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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.