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Finding the Fourth Proportional to 10,360.71, 15,543.09 and 4,123.64

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Solution

The fourth proportional to 10,360.71, 15,543.09 and 4,123.64 is: 6,186.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,360.71 : 15,543.09 = 4,123.64 : x
  2. Step 2: Convert to fraction form
    10,360.71/15,543.09 = 4,123.64/x
  3. Step 3: Cross multiply
    10,360.71x = 15,543.09 × 4,123.64
  4. Step 4: Simplify right side
    10,360.71x = 64,094,146.51
  5. Step 5: Solve for x
    x = 64,094,146.51/10,360.71
  6. Step 6: Final answer
    x = 6,186.27

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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.