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Finding the Fourth Proportional to 7,718.63, 11,580.17 and 4,434.08

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Solution

The fourth proportional to 7,718.63, 11,580.17 and 4,434.08 is: 6,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,718.63 : 11,580.17 = 4,434.08 : x
  2. Step 2: Convert to fraction form
    7,718.63/11,580.17 = 4,434.08/x
  3. Step 3: Cross multiply
    7,718.63x = 11,580.17 × 4,434.08
  4. Step 4: Simplify right side
    7,718.63x = 51,347,320.12
  5. Step 5: Solve for x
    x = 51,347,320.12/7,718.63
  6. Step 6: Final answer
    x = 6,652.39

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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.