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Finding the Fourth Proportional to 10,656.19, 15,985.65 and 5,719.06

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Solution

The fourth proportional to 10,656.19, 15,985.65 and 5,719.06 is: 8,579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.19 : 15,985.65 = 5,719.06 : x
  2. Step 2: Convert to fraction form
    10,656.19/15,985.65 = 5,719.06/x
  3. Step 3: Cross multiply
    10,656.19x = 15,985.65 × 5,719.06
  4. Step 4: Simplify right side
    10,656.19x = 91,422,811.56
  5. Step 5: Solve for x
    x = 91,422,811.56/10,656.19
  6. Step 6: Final answer
    x = 8,579.32

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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.