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Finding the Fourth Proportional to 7,875.76, 11,810.04 and 2,680.24

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Solution

The fourth proportional to 7,875.76, 11,810.04 and 2,680.24 is: 4,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.76 : 11,810.04 = 2,680.24 : x
  2. Step 2: Convert to fraction form
    7,875.76/11,810.04 = 2,680.24/x
  3. Step 3: Cross multiply
    7,875.76x = 11,810.04 × 2,680.24
  4. Step 4: Simplify right side
    7,875.76x = 31,653,741.61
  5. Step 5: Solve for x
    x = 31,653,741.61/7,875.76
  6. Step 6: Final answer
    x = 4,019.13

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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.