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Finding the Fourth Proportional to 6,875.88, 10,308.06 and 2,774.76

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Solution

The fourth proportional to 6,875.88, 10,308.06 and 2,774.76 is: 4,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.88 : 10,308.06 = 2,774.76 : x
  2. Step 2: Convert to fraction form
    6,875.88/10,308.06 = 2,774.76/x
  3. Step 3: Cross multiply
    6,875.88x = 10,308.06 × 2,774.76
  4. Step 4: Simplify right side
    6,875.88x = 28,602,392.57
  5. Step 5: Solve for x
    x = 28,602,392.57/6,875.88
  6. Step 6: Final answer
    x = 4,159.82

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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.