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Finding the Fourth Proportional to 10,539.96, 15,788.70 and 5,259

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Solution

The fourth proportional to 10,539.96, 15,788.70 and 5,259 is: 7,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.96 : 15,788.70 = 5,259 : x
  2. Step 2: Convert to fraction form
    10,539.96/15,788.70 = 5,259/x
  3. Step 3: Cross multiply
    10,539.96x = 15,788.70 × 5,259
  4. Step 4: Simplify right side
    10,539.96x = 83,032,773.30
  5. Step 5: Solve for x
    x = 83,032,773.30/10,539.96
  6. Step 6: Final answer
    x = 7,877.90

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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.