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Finding the Fourth Proportional to 8,106.84, 11,186.64 and 4,570.65

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Solution

The fourth proportional to 8,106.84, 11,186.64 and 4,570.65 is: 6,307.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.84 : 11,186.64 = 4,570.65 : x
  2. Step 2: Convert to fraction form
    8,106.84/11,186.64 = 4,570.65/x
  3. Step 3: Cross multiply
    8,106.84x = 11,186.64 × 4,570.65
  4. Step 4: Simplify right side
    8,106.84x = 51,130,216.12
  5. Step 5: Solve for x
    x = 51,130,216.12/8,106.84
  6. Step 6: Final answer
    x = 6,307.05

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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.