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Finding the Fourth Proportional to 7,602.46, 11,402.64 and 2,056.30

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Solution

The fourth proportional to 7,602.46, 11,402.64 and 2,056.30 is: 3,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.46 : 11,402.64 = 2,056.30 : x
  2. Step 2: Convert to fraction form
    7,602.46/11,402.64 = 2,056.30/x
  3. Step 3: Cross multiply
    7,602.46x = 11,402.64 × 2,056.30
  4. Step 4: Simplify right side
    7,602.46x = 23,447,248.63
  5. Step 5: Solve for x
    x = 23,447,248.63/7,602.46
  6. Step 6: Final answer
    x = 3,084.17

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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.