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Finding the Fourth Proportional to 11,345.63, 15,655.79 and 6,309.05

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Solution

The fourth proportional to 11,345.63, 15,655.79 and 6,309.05 is: 8,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.63 : 15,655.79 = 6,309.05 : x
  2. Step 2: Convert to fraction form
    11,345.63/15,655.79 = 6,309.05/x
  3. Step 3: Cross multiply
    11,345.63x = 15,655.79 × 6,309.05
  4. Step 4: Simplify right side
    11,345.63x = 98,773,216.81
  5. Step 5: Solve for x
    x = 98,773,216.81/11,345.63
  6. Step 6: Final answer
    x = 8,705.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.