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Finding the Fourth Proportional to 7,196.51, 10,780.93 and 4,415.08

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Solution

The fourth proportional to 7,196.51, 10,780.93 and 4,415.08 is: 6,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.51 : 10,780.93 = 4,415.08 : x
  2. Step 2: Convert to fraction form
    7,196.51/10,780.93 = 4,415.08/x
  3. Step 3: Cross multiply
    7,196.51x = 10,780.93 × 4,415.08
  4. Step 4: Simplify right side
    7,196.51x = 47,598,668.42
  5. Step 5: Solve for x
    x = 47,598,668.42/7,196.51
  6. Step 6: Final answer
    x = 6,614.13

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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.