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Finding the Fourth Proportional to 8,114.10, 11,196.98 and 4,577.10

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Solution

The fourth proportional to 8,114.10, 11,196.98 and 4,577.10 is: 6,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.10 : 11,196.98 = 4,577.10 : x
  2. Step 2: Convert to fraction form
    8,114.10/11,196.98 = 4,577.10/x
  3. Step 3: Cross multiply
    8,114.10x = 11,196.98 × 4,577.10
  4. Step 4: Simplify right side
    8,114.10x = 51,249,697.16
  5. Step 5: Solve for x
    x = 51,249,697.16/8,114.10
  6. Step 6: Final answer
    x = 6,316.13

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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.