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Finding the Fourth Proportional to 10,005.64, 15,014.40 and 4,459.30

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Solution

The fourth proportional to 10,005.64, 15,014.40 and 4,459.30 is: 6,691.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.64 : 15,014.40 = 4,459.30 : x
  2. Step 2: Convert to fraction form
    10,005.64/15,014.40 = 4,459.30/x
  3. Step 3: Cross multiply
    10,005.64x = 15,014.40 × 4,459.30
  4. Step 4: Simplify right side
    10,005.64x = 66,953,713.92
  5. Step 5: Solve for x
    x = 66,953,713.92/10,005.64
  6. Step 6: Final answer
    x = 6,691.60

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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.