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Finding the Fourth Proportional to 10,459.68, 15,693.44 and 6,302.63

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Solution

The fourth proportional to 10,459.68, 15,693.44 and 6,302.63 is: 9,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.68 : 15,693.44 = 6,302.63 : x
  2. Step 2: Convert to fraction form
    10,459.68/15,693.44 = 6,302.63/x
  3. Step 3: Cross multiply
    10,459.68x = 15,693.44 × 6,302.63
  4. Step 4: Simplify right side
    10,459.68x = 98,909,835.77
  5. Step 5: Solve for x
    x = 98,909,835.77/10,459.68
  6. Step 6: Final answer
    x = 9,456.30

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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.