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Finding the Fourth Proportional to 8,106.67, 11,186.53 and 4,570.75

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Solution

The fourth proportional to 8,106.67, 11,186.53 and 4,570.75 is: 6,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.67 : 11,186.53 = 4,570.75 : x
  2. Step 2: Convert to fraction form
    8,106.67/11,186.53 = 4,570.75/x
  3. Step 3: Cross multiply
    8,106.67x = 11,186.53 × 4,570.75
  4. Step 4: Simplify right side
    8,106.67x = 51,130,832.00
  5. Step 5: Solve for x
    x = 51,130,832.00/8,106.67
  6. Step 6: Final answer
    x = 6,307.25

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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.