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Finding the Fourth Proportional to 10,712.66, 16,071.93 and 4,475.59

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Solution

The fourth proportional to 10,712.66, 16,071.93 and 4,475.59 is: 6,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.66 : 16,071.93 = 4,475.59 : x
  2. Step 2: Convert to fraction form
    10,712.66/16,071.93 = 4,475.59/x
  3. Step 3: Cross multiply
    10,712.66x = 16,071.93 × 4,475.59
  4. Step 4: Simplify right side
    10,712.66x = 71,931,329.01
  5. Step 5: Solve for x
    x = 71,931,329.01/10,712.66
  6. Step 6: Final answer
    x = 6,714.61

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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.