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Finding the Fourth Proportional to 7,699.60, 11,549.30 and 1,856.16

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Solution

The fourth proportional to 7,699.60, 11,549.30 and 1,856.16 is: 2,784.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.60 : 11,549.30 = 1,856.16 : x
  2. Step 2: Convert to fraction form
    7,699.60/11,549.30 = 1,856.16/x
  3. Step 3: Cross multiply
    7,699.60x = 11,549.30 × 1,856.16
  4. Step 4: Simplify right side
    7,699.60x = 21,437,339.41
  5. Step 5: Solve for x
    x = 21,437,339.41/7,699.60
  6. Step 6: Final answer
    x = 2,784.22

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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.