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Finding the Fourth Proportional to 7,554.42, 11,284.02 and 7,416

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Solution

The fourth proportional to 7,554.42, 11,284.02 and 7,416 is: 11,077.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554.42 : 11,284.02 = 7,416 : x
  2. Step 2: Convert to fraction form
    7,554.42/11,284.02 = 7,416/x
  3. Step 3: Cross multiply
    7,554.42x = 11,284.02 × 7,416
  4. Step 4: Simplify right side
    7,554.42x = 83,682,292.32
  5. Step 5: Solve for x
    x = 83,682,292.32/7,554.42
  6. Step 6: Final answer
    x = 11,077.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.