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Finding the Fourth Proportional to 10,459.45, 15,678.64 and 4,615.03

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Solution

The fourth proportional to 10,459.45, 15,678.64 and 4,615.03 is: 6,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.45 : 15,678.64 = 4,615.03 : x
  2. Step 2: Convert to fraction form
    10,459.45/15,678.64 = 4,615.03/x
  3. Step 3: Cross multiply
    10,459.45x = 15,678.64 × 4,615.03
  4. Step 4: Simplify right side
    10,459.45x = 72,357,393.96
  5. Step 5: Solve for x
    x = 72,357,393.96/10,459.45
  6. Step 6: Final answer
    x = 6,917.90

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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.