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Finding the Fourth Proportional to 7,547.48, 11,314.22 and 2,866.08

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Solution

The fourth proportional to 7,547.48, 11,314.22 and 2,866.08 is: 4,296.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.48 : 11,314.22 = 2,866.08 : x
  2. Step 2: Convert to fraction form
    7,547.48/11,314.22 = 2,866.08/x
  3. Step 3: Cross multiply
    7,547.48x = 11,314.22 × 2,866.08
  4. Step 4: Simplify right side
    7,547.48x = 32,427,459.66
  5. Step 5: Solve for x
    x = 32,427,459.66/7,547.48
  6. Step 6: Final answer
    x = 4,296.46

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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.