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Finding the Fourth Proportional to 10,005.76, 15,008.52 and 4,457.68

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Solution

The fourth proportional to 10,005.76, 15,008.52 and 4,457.68 is: 6,686.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.76 : 15,008.52 = 4,457.68 : x
  2. Step 2: Convert to fraction form
    10,005.76/15,008.52 = 4,457.68/x
  3. Step 3: Cross multiply
    10,005.76x = 15,008.52 × 4,457.68
  4. Step 4: Simplify right side
    10,005.76x = 66,903,179.43
  5. Step 5: Solve for x
    x = 66,903,179.43/10,005.76
  6. Step 6: Final answer
    x = 6,686.47

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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.