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Finding the Fourth Proportional to 7,180.84, 9,904.26 and 5,412.52

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Solution

The fourth proportional to 7,180.84, 9,904.26 and 5,412.52 is: 7,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.84 : 9,904.26 = 5,412.52 : x
  2. Step 2: Convert to fraction form
    7,180.84/9,904.26 = 5,412.52/x
  3. Step 3: Cross multiply
    7,180.84x = 9,904.26 × 5,412.52
  4. Step 4: Simplify right side
    7,180.84x = 53,607,005.34
  5. Step 5: Solve for x
    x = 53,607,005.34/7,180.84
  6. Step 6: Final answer
    x = 7,465.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.