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Finding the Fourth Proportional to 7,547.15, 11,322.68 and 2,867.24

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Solution

The fourth proportional to 7,547.15, 11,322.68 and 2,867.24 is: 4,301.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.15 : 11,322.68 = 2,867.24 : x
  2. Step 2: Convert to fraction form
    7,547.15/11,322.68 = 2,867.24/x
  3. Step 3: Cross multiply
    7,547.15x = 11,322.68 × 2,867.24
  4. Step 4: Simplify right side
    7,547.15x = 32,464,841.00
  5. Step 5: Solve for x
    x = 32,464,841.00/7,547.15
  6. Step 6: Final answer
    x = 4,301.60

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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.