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Finding the Fourth Proportional to 6,592.19, 9,886.66 and 1,911.20

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Solution

The fourth proportional to 6,592.19, 9,886.66 and 1,911.20 is: 2,866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.19 : 9,886.66 = 1,911.20 : x
  2. Step 2: Convert to fraction form
    6,592.19/9,886.66 = 1,911.20/x
  3. Step 3: Cross multiply
    6,592.19x = 9,886.66 × 1,911.20
  4. Step 4: Simplify right side
    6,592.19x = 18,895,330.38
  5. Step 5: Solve for x
    x = 18,895,330.38/6,592.19
  6. Step 6: Final answer
    x = 2,866.32

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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.