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Finding the Fourth Proportional to 7,603.31, 11,405.62 and 2,056.63

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Solution

The fourth proportional to 7,603.31, 11,405.62 and 2,056.63 is: 3,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,603.31 : 11,405.62 = 2,056.63 : x
  2. Step 2: Convert to fraction form
    7,603.31/11,405.62 = 2,056.63/x
  3. Step 3: Cross multiply
    7,603.31x = 11,405.62 × 2,056.63
  4. Step 4: Simplify right side
    7,603.31x = 23,457,140.26
  5. Step 5: Solve for x
    x = 23,457,140.26/7,603.31
  6. Step 6: Final answer
    x = 3,085.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.