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Finding the Fourth Proportional to 10,655.63, 15,988.05 and 5,719.50

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Solution

The fourth proportional to 10,655.63, 15,988.05 and 5,719.50 is: 8,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.63 : 15,988.05 = 5,719.50 : x
  2. Step 2: Convert to fraction form
    10,655.63/15,988.05 = 5,719.50/x
  3. Step 3: Cross multiply
    10,655.63x = 15,988.05 × 5,719.50
  4. Step 4: Simplify right side
    10,655.63x = 91,443,733.38
  5. Step 5: Solve for x
    x = 91,443,733.38/10,655.63
  6. Step 6: Final answer
    x = 8,581.73

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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.