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Finding the Fourth Proportional to 7,547.48, 11,323.14 and 2,353.40

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Solution

The fourth proportional to 7,547.48, 11,323.14 and 2,353.40 is: 3,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.48 : 11,323.14 = 2,353.40 : x
  2. Step 2: Convert to fraction form
    7,547.48/11,323.14 = 2,353.40/x
  3. Step 3: Cross multiply
    7,547.48x = 11,323.14 × 2,353.40
  4. Step 4: Simplify right side
    7,547.48x = 26,647,877.68
  5. Step 5: Solve for x
    x = 26,647,877.68/7,547.48
  6. Step 6: Final answer
    x = 3,530.70

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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.