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Finding the Fourth Proportional to 10,581.61, 14,602.53 and 5,865.79

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Solution

The fourth proportional to 10,581.61, 14,602.53 and 5,865.79 is: 8,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,581.61 : 14,602.53 = 5,865.79 : x
  2. Step 2: Convert to fraction form
    10,581.61/14,602.53 = 5,865.79/x
  3. Step 3: Cross multiply
    10,581.61x = 14,602.53 × 5,865.79
  4. Step 4: Simplify right side
    10,581.61x = 85,655,374.45
  5. Step 5: Solve for x
    x = 85,655,374.45/10,581.61
  6. Step 6: Final answer
    x = 8,094.74

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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.