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Finding the Fourth Proportional to 7,643.10, 11,447.70 and 5,875.07

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Solution

The fourth proportional to 7,643.10, 11,447.70 and 5,875.07 is: 8,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.10 : 11,447.70 = 5,875.07 : x
  2. Step 2: Convert to fraction form
    7,643.10/11,447.70 = 5,875.07/x
  3. Step 3: Cross multiply
    7,643.10x = 11,447.70 × 5,875.07
  4. Step 4: Simplify right side
    7,643.10x = 67,256,038.84
  5. Step 5: Solve for x
    x = 67,256,038.84/7,643.10
  6. Step 6: Final answer
    x = 8,799.58

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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.