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Finding the Fourth Proportional to 7,852.86, 11,767.14 and 4,567.50

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Solution

The fourth proportional to 7,852.86, 11,767.14 and 4,567.50 is: 6,844.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.86 : 11,767.14 = 4,567.50 : x
  2. Step 2: Convert to fraction form
    7,852.86/11,767.14 = 4,567.50/x
  3. Step 3: Cross multiply
    7,852.86x = 11,767.14 × 4,567.50
  4. Step 4: Simplify right side
    7,852.86x = 53,746,411.95
  5. Step 5: Solve for x
    x = 53,746,411.95/7,852.86
  6. Step 6: Final answer
    x = 6,844.18

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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.